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Finding the Fourth Proportional to 32,590.38, 44,974.72 and 17,686.38

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Solution

The fourth proportional to 32,590.38, 44,974.72 and 17,686.38 is: 24,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,590.38 : 44,974.72 = 17,686.38 : x
  2. Step 2: Convert to fraction form
    32,590.38/44,974.72 = 17,686.38/x
  3. Step 3: Cross multiply
    32,590.38x = 44,974.72 × 17,686.38
  4. Step 4: Simplify right side
    32,590.38x = 795,439,988.31
  5. Step 5: Solve for x
    x = 795,439,988.31/32,590.38
  6. Step 6: Final answer
    x = 24,407.20

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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.