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Finding the Fourth Proportional to 31,377.68, 47,073.52 and 10,600.64

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Solution

The fourth proportional to 31,377.68, 47,073.52 and 10,600.64 is: 15,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,377.68 : 47,073.52 = 10,600.64 : x
  2. Step 2: Convert to fraction form
    31,377.68/47,073.52 = 10,600.64/x
  3. Step 3: Cross multiply
    31,377.68x = 47,073.52 × 10,600.64
  4. Step 4: Simplify right side
    31,377.68x = 499,009,439.05
  5. Step 5: Solve for x
    x = 499,009,439.05/31,377.68
  6. Step 6: Final answer
    x = 15,903.32

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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.