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Finding the Fourth Proportional to 31,805.80, 47,708.70 and 24,447.40

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Solution

The fourth proportional to 31,805.80, 47,708.70 and 24,447.40 is: 36,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.80 : 47,708.70 = 24,447.40 : x
  2. Step 2: Convert to fraction form
    31,805.80/47,708.70 = 24,447.40/x
  3. Step 3: Cross multiply
    31,805.80x = 47,708.70 × 24,447.40
  4. Step 4: Simplify right side
    31,805.80x = 1,166,353,672.38
  5. Step 5: Solve for x
    x = 1,166,353,672.38/31,805.80
  6. Step 6: Final answer
    x = 36,671.10

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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.