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Finding the Fourth Proportional to 42,006.86, 57,997.95 and 29,409.74

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Solution

The fourth proportional to 42,006.86, 57,997.95 and 29,409.74 is: 40,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,006.86 : 57,997.95 = 29,409.74 : x
  2. Step 2: Convert to fraction form
    42,006.86/57,997.95 = 29,409.74/x
  3. Step 3: Cross multiply
    42,006.86x = 57,997.95 × 29,409.74
  4. Step 4: Simplify right side
    42,006.86x = 1,705,704,630.03
  5. Step 5: Solve for x
    x = 1,705,704,630.03/42,006.86
  6. Step 6: Final answer
    x = 40,605.38

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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.