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Finding the Fourth Proportional to 52,090.22, 71,869.92 and 32,711.22

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Solution

The fourth proportional to 52,090.22, 71,869.92 and 32,711.22 is: 45,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,090.22 : 71,869.92 = 32,711.22 : x
  2. Step 2: Convert to fraction form
    52,090.22/71,869.92 = 32,711.22/x
  3. Step 3: Cross multiply
    52,090.22x = 71,869.92 × 32,711.22
  4. Step 4: Simplify right side
    52,090.22x = 2,350,952,682.72
  5. Step 5: Solve for x
    x = 2,350,952,682.72/52,090.22
  6. Step 6: Final answer
    x = 45,132.32

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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.