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Finding the Fourth Proportional to 82,513.42, 113,664.45 and 70,374.22

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Solution

The fourth proportional to 82,513.42, 113,664.45 and 70,374.22 is: 96,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,513.42 : 113,664.45 = 70,374.22 : x
  2. Step 2: Convert to fraction form
    82,513.42/113,664.45 = 70,374.22/x
  3. Step 3: Cross multiply
    82,513.42x = 113,664.45 × 70,374.22
  4. Step 4: Simplify right side
    82,513.42x = 7,999,047,010.48
  5. Step 5: Solve for x
    x = 7,999,047,010.48/82,513.42
  6. Step 6: Final answer
    x = 96,942.38

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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.