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Finding the Fourth Proportional to 32,003.52, 47,972.88 and 15,339.12

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Solution

The fourth proportional to 32,003.52, 47,972.88 and 15,339.12 is: 22,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.52 : 47,972.88 = 15,339.12 : x
  2. Step 2: Convert to fraction form
    32,003.52/47,972.88 = 15,339.12/x
  3. Step 3: Cross multiply
    32,003.52x = 47,972.88 × 15,339.12
  4. Step 4: Simplify right side
    32,003.52x = 735,861,763.07
  5. Step 5: Solve for x
    x = 735,861,763.07/32,003.52
  6. Step 6: Final answer
    x = 22,993.15

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1.5x scale

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.