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Finding the Fourth Proportional to 99,554.69, 137,385.42 and 54,842.69

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Solution

The fourth proportional to 99,554.69, 137,385.42 and 54,842.69 is: 75,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,554.69 : 137,385.42 = 54,842.69 : x
  2. Step 2: Convert to fraction form
    99,554.69/137,385.42 = 54,842.69/x
  3. Step 3: Cross multiply
    99,554.69x = 137,385.42 × 54,842.69
  4. Step 4: Simplify right side
    99,554.69x = 7,534,586,137.38
  5. Step 5: Solve for x
    x = 7,534,586,137.38/99,554.69
  6. Step 6: Final answer
    x = 75,682.88

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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.