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Finding the Fourth Proportional to 82,546,978.93, 113,917,380.68 and 45,380,099.16

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Solution

The fourth proportional to 82,546,978.93, 113,917,380.68 and 45,380,099.16 is: 62,625,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,546,978.93 : 113,917,380.68 = 45,380,099.16 : x
  2. Step 2: Convert to fraction form
    82,546,978.93/113,917,380.68 = 45,380,099.16/x
  3. Step 3: Cross multiply
    82,546,978.93x = 113,917,380.68 × 45,380,099.16
  4. Step 4: Simplify right side
    82,546,978.93x = 5,169,582,031,419,318
  5. Step 5: Solve for x
    x = 5,169,582,031,419,318/82,546,978.93
  6. Step 6: Final answer
    x = 62,625,938.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.