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Finding the Fourth Proportional to 31,802.88, 43,884.24 and 17,652.24

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Solution

The fourth proportional to 31,802.88, 43,884.24 and 17,652.24 is: 24,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.88 : 43,884.24 = 17,652.24 : x
  2. Step 2: Convert to fraction form
    31,802.88/43,884.24 = 17,652.24/x
  3. Step 3: Cross multiply
    31,802.88x = 43,884.24 × 17,652.24
  4. Step 4: Simplify right side
    31,802.88x = 774,655,136.70
  5. Step 5: Solve for x
    x = 774,655,136.70/31,802.88
  6. Step 6: Final answer
    x = 24,358.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.