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Finding the Fourth Proportional to 57,664.64, 86,436.96 and 24,356.96

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Solution

The fourth proportional to 57,664.64, 86,436.96 and 24,356.96 is: 36,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,664.64 : 86,436.96 = 24,356.96 : x
  2. Step 2: Convert to fraction form
    57,664.64/86,436.96 = 24,356.96/x
  3. Step 3: Cross multiply
    57,664.64x = 86,436.96 × 24,356.96
  4. Step 4: Simplify right side
    57,664.64x = 2,105,341,577.24
  5. Step 5: Solve for x
    x = 2,105,341,577.24/57,664.64
  6. Step 6: Final answer
    x = 36,510.10

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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.