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Finding the Fourth Proportional to 99,666.38, 137,538.61 and 54,344.25

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Solution

The fourth proportional to 99,666.38, 137,538.61 and 54,344.25 is: 74,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,666.38 : 137,538.61 = 54,344.25 : x
  2. Step 2: Convert to fraction form
    99,666.38/137,538.61 = 54,344.25/x
  3. Step 3: Cross multiply
    99,666.38x = 137,538.61 × 54,344.25
  4. Step 4: Simplify right side
    99,666.38x = 7,474,432,470.63
  5. Step 5: Solve for x
    x = 7,474,432,470.63/99,666.38
  6. Step 6: Final answer
    x = 74,994.52

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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.