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Finding the Fourth Proportional to 32,098.17, 44,284.65 and 18,658.38

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Solution

The fourth proportional to 32,098.17, 44,284.65 and 18,658.38 is: 25,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.17 : 44,284.65 = 18,658.38 : x
  2. Step 2: Convert to fraction form
    32,098.17/44,284.65 = 18,658.38/x
  3. Step 3: Cross multiply
    32,098.17x = 44,284.65 × 18,658.38
  4. Step 4: Simplify right side
    32,098.17x = 826,279,602.79
  5. Step 5: Solve for x
    x = 826,279,602.79/32,098.17
  6. Step 6: Final answer
    x = 25,742.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.