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Finding the Fourth Proportional to 57,098.75, 85,646.14 and 14,978.50

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Solution

The fourth proportional to 57,098.75, 85,646.14 and 14,978.50 is: 22,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,098.75 : 85,646.14 = 14,978.50 : x
  2. Step 2: Convert to fraction form
    57,098.75/85,646.14 = 14,978.50/x
  3. Step 3: Cross multiply
    57,098.75x = 85,646.14 × 14,978.50
  4. Step 4: Simplify right side
    57,098.75x = 1,282,850,456.43
  5. Step 5: Solve for x
    x = 1,282,850,456.43/57,098.75
  6. Step 6: Final answer
    x = 22,467.23

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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.