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Finding the Fourth Proportional to 74,134.71, 102,313.24 and 42,308.39

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Solution

The fourth proportional to 74,134.71, 102,313.24 and 42,308.39 is: 58,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,134.71 : 102,313.24 = 42,308.39 : x
  2. Step 2: Convert to fraction form
    74,134.71/102,313.24 = 42,308.39/x
  3. Step 3: Cross multiply
    74,134.71x = 102,313.24 × 42,308.39
  4. Step 4: Simplify right side
    74,134.71x = 4,328,708,610.10
  5. Step 5: Solve for x
    x = 4,328,708,610.10/74,134.71
  6. Step 6: Final answer
    x = 58,389.77

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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.