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Finding the Fourth Proportional to 57,718.78, 86,594.10 and 24,421.30

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Solution

The fourth proportional to 57,718.78, 86,594.10 and 24,421.30 is: 36,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,718.78 : 86,594.10 = 24,421.30 : x
  2. Step 2: Convert to fraction form
    57,718.78/86,594.10 = 24,421.30/x
  3. Step 3: Cross multiply
    57,718.78x = 86,594.10 × 24,421.30
  4. Step 4: Simplify right side
    57,718.78x = 2,114,740,494.33
  5. Step 5: Solve for x
    x = 2,114,740,494.33/57,718.78
  6. Step 6: Final answer
    x = 36,638.69

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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.