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Finding the Fourth Proportional to 32,437.53, 48,652.12 and 10,253.15

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Solution

The fourth proportional to 32,437.53, 48,652.12 and 10,253.15 is: 15,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,437.53 : 48,652.12 = 10,253.15 : x
  2. Step 2: Convert to fraction form
    32,437.53/48,652.12 = 10,253.15/x
  3. Step 3: Cross multiply
    32,437.53x = 48,652.12 × 10,253.15
  4. Step 4: Simplify right side
    32,437.53x = 498,837,560.95
  5. Step 5: Solve for x
    x = 498,837,560.95/32,437.53
  6. Step 6: Final answer
    x = 15,378.41

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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.