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Finding the Fourth Proportional to 56,395.96, 77,826.44 and 30,902.12

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Solution

The fourth proportional to 56,395.96, 77,826.44 and 30,902.12 is: 42,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,395.96 : 77,826.44 = 30,902.12 : x
  2. Step 2: Convert to fraction form
    56,395.96/77,826.44 = 30,902.12/x
  3. Step 3: Cross multiply
    56,395.96x = 77,826.44 × 30,902.12
  4. Step 4: Simplify right side
    56,395.96x = 2,405,001,598.92
  5. Step 5: Solve for x
    x = 2,405,001,598.92/56,395.96
  6. Step 6: Final answer
    x = 42,644.93

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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.