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Finding the Fourth Proportional to 31,592.46, 47,390.76 and 9,103.74

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Solution

The fourth proportional to 31,592.46, 47,390.76 and 9,103.74 is: 13,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,592.46 : 47,390.76 = 9,103.74 : x
  2. Step 2: Convert to fraction form
    31,592.46/47,390.76 = 9,103.74/x
  3. Step 3: Cross multiply
    31,592.46x = 47,390.76 × 9,103.74
  4. Step 4: Simplify right side
    31,592.46x = 431,433,157.44
  5. Step 5: Solve for x
    x = 431,433,157.44/31,592.46
  6. Step 6: Final answer
    x = 13,656.21

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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.