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Finding the Fourth Proportional to 32,523.40, 48,780.30 and 9,152.20

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Solution

The fourth proportional to 32,523.40, 48,780.30 and 9,152.20 is: 13,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523.40 : 48,780.30 = 9,152.20 : x
  2. Step 2: Convert to fraction form
    32,523.40/48,780.30 = 9,152.20/x
  3. Step 3: Cross multiply
    32,523.40x = 48,780.30 × 9,152.20
  4. Step 4: Simplify right side
    32,523.40x = 446,447,061.66
  5. Step 5: Solve for x
    x = 446,447,061.66/32,523.40
  6. Step 6: Final answer
    x = 13,726.95

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