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Finding the Fourth Proportional to 38,489.80, 53,128.02 and 22,580.68

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Solution

The fourth proportional to 38,489.80, 53,128.02 and 22,580.68 is: 31,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489.80 : 53,128.02 = 22,580.68 : x
  2. Step 2: Convert to fraction form
    38,489.80/53,128.02 = 22,580.68/x
  3. Step 3: Cross multiply
    38,489.80x = 53,128.02 × 22,580.68
  4. Step 4: Simplify right side
    38,489.80x = 1,199,666,818.65
  5. Step 5: Solve for x
    x = 1,199,666,818.65/38,489.80
  6. Step 6: Final answer
    x = 31,168.43

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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.