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Finding the Fourth Proportional to 32,327.38, 44,633.75 and 23,830.48

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Solution

The fourth proportional to 32,327.38, 44,633.75 and 23,830.48 is: 32,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,327.38 : 44,633.75 = 23,830.48 : x
  2. Step 2: Convert to fraction form
    32,327.38/44,633.75 = 23,830.48/x
  3. Step 3: Cross multiply
    32,327.38x = 44,633.75 × 23,830.48
  4. Step 4: Simplify right side
    32,327.38x = 1,063,643,686.70
  5. Step 5: Solve for x
    x = 1,063,643,686.70/32,327.38
  6. Step 6: Final answer
    x = 32,902.25

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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.