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Finding the Fourth Proportional to 32,442, 44,770.02 and 17,538

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Solution

The fourth proportional to 32,442, 44,770.02 and 17,538 is: 24,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442 : 44,770.02 = 17,538 : x
  2. Step 2: Convert to fraction form
    32,442/44,770.02 = 17,538/x
  3. Step 3: Cross multiply
    32,442x = 44,770.02 × 17,538
  4. Step 4: Simplify right side
    32,442x = 785,176,610.76
  5. Step 5: Solve for x
    x = 785,176,610.76/32,442
  6. Step 6: Final answer
    x = 24,202.47

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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.