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Finding the Fourth Proportional to 31,543.80, 47,250.90 and 15,970.20

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Solution

The fourth proportional to 31,543.80, 47,250.90 and 15,970.20 is: 23,922.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,543.80 : 47,250.90 = 15,970.20 : x
  2. Step 2: Convert to fraction form
    31,543.80/47,250.90 = 15,970.20/x
  3. Step 3: Cross multiply
    31,543.80x = 47,250.90 × 15,970.20
  4. Step 4: Simplify right side
    31,543.80x = 754,606,323.18
  5. Step 5: Solve for x
    x = 754,606,323.18/31,543.80
  6. Step 6: Final answer
    x = 23,922.49

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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.