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Finding the Fourth Proportional to 57,207.60, 85,827.60 and 17,768.70

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Solution

The fourth proportional to 57,207.60, 85,827.60 and 17,768.70 is: 26,658.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,207.60 : 85,827.60 = 17,768.70 : x
  2. Step 2: Convert to fraction form
    57,207.60/85,827.60 = 17,768.70/x
  3. Step 3: Cross multiply
    57,207.60x = 85,827.60 × 17,768.70
  4. Step 4: Simplify right side
    57,207.60x = 1,525,044,876.12
  5. Step 5: Solve for x
    x = 1,525,044,876.12/57,207.60
  6. Step 6: Final answer
    x = 26,658.08

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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.