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Finding the Fourth Proportional to 57,102.75, 85,658.18 and 17,654.74

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Solution

The fourth proportional to 57,102.75, 85,658.18 and 17,654.74 is: 26,483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.75 : 85,658.18 = 17,654.74 : x
  2. Step 2: Convert to fraction form
    57,102.75/85,658.18 = 17,654.74/x
  3. Step 3: Cross multiply
    57,102.75x = 85,658.18 × 17,654.74
  4. Step 4: Simplify right side
    57,102.75x = 1,512,272,594.35
  5. Step 5: Solve for x
    x = 1,512,272,594.35/57,102.75
  6. Step 6: Final answer
    x = 26,483.36

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1.5x scale

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.