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Finding the Fourth Proportional to 32,411.95, 48,614.38 and 10,213.22

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Solution

The fourth proportional to 32,411.95, 48,614.38 and 10,213.22 is: 15,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.95 : 48,614.38 = 10,213.22 : x
  2. Step 2: Convert to fraction form
    32,411.95/48,614.38 = 10,213.22/x
  3. Step 3: Cross multiply
    32,411.95x = 48,614.38 × 10,213.22
  4. Step 4: Simplify right side
    32,411.95x = 496,509,454.11
  5. Step 5: Solve for x
    x = 496,509,454.11/32,411.95
  6. Step 6: Final answer
    x = 15,318.72

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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.