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Finding the Fourth Proportional to 57,662.54, 86,497.47 and 24,376.40

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Solution

The fourth proportional to 57,662.54, 86,497.47 and 24,376.40 is: 36,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,662.54 : 86,497.47 = 24,376.40 : x
  2. Step 2: Convert to fraction form
    57,662.54/86,497.47 = 24,376.40/x
  3. Step 3: Cross multiply
    57,662.54x = 86,497.47 × 24,376.40
  4. Step 4: Simplify right side
    57,662.54x = 2,108,496,927.71
  5. Step 5: Solve for x
    x = 2,108,496,927.71/57,662.54
  6. Step 6: Final answer
    x = 36,566.15

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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.