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Finding the Fourth Proportional to 57,769, 86,663.40 and 24,505

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Solution

The fourth proportional to 57,769, 86,663.40 and 24,505 is: 36,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,769 : 86,663.40 = 24,505 : x
  2. Step 2: Convert to fraction form
    57,769/86,663.40 = 24,505/x
  3. Step 3: Cross multiply
    57,769x = 86,663.40 × 24,505
  4. Step 4: Simplify right side
    57,769x = 2,123,686,617.00
  5. Step 5: Solve for x
    x = 2,123,686,617.00/57,769
  6. Step 6: Final answer
    x = 36,761.70

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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.