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Finding the Fourth Proportional to 100,024.81, 138,034.23 and 54,702.88

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Solution

The fourth proportional to 100,024.81, 138,034.23 and 54,702.88 is: 75,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,024.81 : 138,034.23 = 54,702.88 : x
  2. Step 2: Convert to fraction form
    100,024.81/138,034.23 = 54,702.88/x
  3. Step 3: Cross multiply
    100,024.81x = 138,034.23 × 54,702.88
  4. Step 4: Simplify right side
    100,024.81x = 7,550,869,369.36
  5. Step 5: Solve for x
    x = 7,550,869,369.36/100,024.81
  6. Step 6: Final answer
    x = 75,489.97

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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.