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Finding the Fourth Proportional to 42,997.50, 64,503.63 and 13,414.32

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Solution

The fourth proportional to 42,997.50, 64,503.63 and 13,414.32 is: 20,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,997.50 : 64,503.63 = 13,414.32 : x
  2. Step 2: Convert to fraction form
    42,997.50/64,503.63 = 13,414.32/x
  3. Step 3: Cross multiply
    42,997.50x = 64,503.63 × 13,414.32
  4. Step 4: Simplify right side
    42,997.50x = 865,272,333.98
  5. Step 5: Solve for x
    x = 865,272,333.98/42,997.50
  6. Step 6: Final answer
    x = 20,123.78

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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.