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Finding the Fourth Proportional to 71,338.78, 107,024.37 and 38,041.30

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Solution

The fourth proportional to 71,338.78, 107,024.37 and 38,041.30 is: 57,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,338.78 : 107,024.37 = 38,041.30 : x
  2. Step 2: Convert to fraction form
    71,338.78/107,024.37 = 38,041.30/x
  3. Step 3: Cross multiply
    71,338.78x = 107,024.37 × 38,041.30
  4. Step 4: Simplify right side
    71,338.78x = 4,071,346,166.48
  5. Step 5: Solve for x
    x = 4,071,346,166.48/71,338.78
  6. Step 6: Final answer
    x = 57,070.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.