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Finding the Fourth Proportional to 100,033.70, 138,041.38 and 54,702.87

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Solution

The fourth proportional to 100,033.70, 138,041.38 and 54,702.87 is: 75,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,033.70 : 138,041.38 = 54,702.87 : x
  2. Step 2: Convert to fraction form
    100,033.70/138,041.38 = 54,702.87/x
  3. Step 3: Cross multiply
    100,033.70x = 138,041.38 × 54,702.87
  4. Step 4: Simplify right side
    100,033.70x = 7,551,259,215.48
  5. Step 5: Solve for x
    x = 7,551,259,215.48/100,033.70
  6. Step 6: Final answer
    x = 75,487.16

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