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Finding the Fourth Proportional to 74,433.18, 102,711.82 and 42,594.78

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Solution

The fourth proportional to 74,433.18, 102,711.82 and 42,594.78 is: 58,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,433.18 : 102,711.82 = 42,594.78 : x
  2. Step 2: Convert to fraction form
    74,433.18/102,711.82 = 42,594.78/x
  3. Step 3: Cross multiply
    74,433.18x = 102,711.82 × 42,594.78
  4. Step 4: Simplify right side
    74,433.18x = 4,374,987,376.30
  5. Step 5: Solve for x
    x = 4,374,987,376.30/74,433.18
  6. Step 6: Final answer
    x = 58,777.38

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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.