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Finding the Fourth Proportional to 57,721.78, 86,598.60 and 24,424.30

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Solution

The fourth proportional to 57,721.78, 86,598.60 and 24,424.30 is: 36,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,721.78 : 86,598.60 = 24,424.30 : x
  2. Step 2: Convert to fraction form
    57,721.78/86,598.60 = 24,424.30/x
  3. Step 3: Cross multiply
    57,721.78x = 86,598.60 × 24,424.30
  4. Step 4: Simplify right side
    57,721.78x = 2,115,110,185.98
  5. Step 5: Solve for x
    x = 2,115,110,185.98/57,721.78
  6. Step 6: Final answer
    x = 36,643.19

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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.