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Finding the Fourth Proportional to 100,036.62, 138,045.38 and 54,705.78

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Solution

The fourth proportional to 100,036.62, 138,045.38 and 54,705.78 is: 75,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,036.62 : 138,045.38 = 54,705.78 : x
  2. Step 2: Convert to fraction form
    100,036.62/138,045.38 = 54,705.78/x
  3. Step 3: Cross multiply
    100,036.62x = 138,045.38 × 54,705.78
  4. Step 4: Simplify right side
    100,036.62x = 7,551,879,914.77
  5. Step 5: Solve for x
    x = 7,551,879,914.77/100,036.62
  6. Step 6: Final answer
    x = 75,491.15

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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.