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Finding the Fourth Proportional to 38,508.50, 53,142.14 and 22,593.22

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Solution

The fourth proportional to 38,508.50, 53,142.14 and 22,593.22 is: 31,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508.50 : 53,142.14 = 22,593.22 : x
  2. Step 2: Convert to fraction form
    38,508.50/53,142.14 = 22,593.22/x
  3. Step 3: Cross multiply
    38,508.50x = 53,142.14 × 22,593.22
  4. Step 4: Simplify right side
    38,508.50x = 1,200,652,060.29
  5. Step 5: Solve for x
    x = 1,200,652,060.29/38,508.50
  6. Step 6: Final answer
    x = 31,178.88

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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.