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Finding the Fourth Proportional to 117,323.68, 176,010.40 and 38,432

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Solution

The fourth proportional to 117,323.68, 176,010.40 and 38,432 is: 57,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,323.68 : 176,010.40 = 38,432 : x
  2. Step 2: Convert to fraction form
    117,323.68/176,010.40 = 38,432/x
  3. Step 3: Cross multiply
    117,323.68x = 176,010.40 × 38,432
  4. Step 4: Simplify right side
    117,323.68x = 6,764,431,692.80
  5. Step 5: Solve for x
    x = 6,764,431,692.80/117,323.68
  6. Step 6: Final answer
    x = 57,656.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.