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Finding the Fourth Proportional to 57,124.64, 85,695.12 and 17,684.80

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Solution

The fourth proportional to 57,124.64, 85,695.12 and 17,684.80 is: 26,529.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,124.64 : 85,695.12 = 17,684.80 : x
  2. Step 2: Convert to fraction form
    57,124.64/85,695.12 = 17,684.80/x
  3. Step 3: Cross multiply
    57,124.64x = 85,695.12 × 17,684.80
  4. Step 4: Simplify right side
    57,124.64x = 1,515,501,058.18
  5. Step 5: Solve for x
    x = 1,515,501,058.18/57,124.64
  6. Step 6: Final answer
    x = 26,529.73

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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.