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Finding the Fourth Proportional to 32,425.68, 44,744.76 and 18,282

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Solution

The fourth proportional to 32,425.68, 44,744.76 and 18,282 is: 25,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,425.68 : 44,744.76 = 18,282 : x
  2. Step 2: Convert to fraction form
    32,425.68/44,744.76 = 18,282/x
  3. Step 3: Cross multiply
    32,425.68x = 44,744.76 × 18,282
  4. Step 4: Simplify right side
    32,425.68x = 818,023,702.32
  5. Step 5: Solve for x
    x = 818,023,702.32/32,425.68
  6. Step 6: Final answer
    x = 25,227.65

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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.