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Finding the Fourth Proportional to 73,842.20, 101,900.92 and 42,010.41

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Solution

The fourth proportional to 73,842.20, 101,900.92 and 42,010.41 is: 57,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,842.20 : 101,900.92 = 42,010.41 : x
  2. Step 2: Convert to fraction form
    73,842.20/101,900.92 = 42,010.41/x
  3. Step 3: Cross multiply
    73,842.20x = 101,900.92 × 42,010.41
  4. Step 4: Simplify right side
    73,842.20x = 4,280,899,428.58
  5. Step 5: Solve for x
    x = 4,280,899,428.58/73,842.20
  6. Step 6: Final answer
    x = 57,973.62

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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.