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Finding the Fourth Proportional to 31,802.76, 47,700.90 and 8,431.56

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Solution

The fourth proportional to 31,802.76, 47,700.90 and 8,431.56 is: 12,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.76 : 47,700.90 = 8,431.56 : x
  2. Step 2: Convert to fraction form
    31,802.76/47,700.90 = 8,431.56/x
  3. Step 3: Cross multiply
    31,802.76x = 47,700.90 × 8,431.56
  4. Step 4: Simplify right side
    31,802.76x = 402,193,000.40
  5. Step 5: Solve for x
    x = 402,193,000.40/31,802.76
  6. Step 6: Final answer
    x = 12,646.48

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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.