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Finding the Fourth Proportional to 82,523.70, 123,749.10 and 32,587.20

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Solution

The fourth proportional to 82,523.70, 123,749.10 and 32,587.20 is: 48,866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,523.70 : 123,749.10 = 32,587.20 : x
  2. Step 2: Convert to fraction form
    82,523.70/123,749.10 = 32,587.20/x
  3. Step 3: Cross multiply
    82,523.70x = 123,749.10 × 32,587.20
  4. Step 4: Simplify right side
    82,523.70x = 4,032,636,671.52
  5. Step 5: Solve for x
    x = 4,032,636,671.52/82,523.70
  6. Step 6: Final answer
    x = 48,866.41

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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.