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Finding the Fourth Proportional to 99,828.38, 137,759.23 and 54,508.28

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Solution

The fourth proportional to 99,828.38, 137,759.23 and 54,508.28 is: 75,219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,828.38 : 137,759.23 = 54,508.28 : x
  2. Step 2: Convert to fraction form
    99,828.38/137,759.23 = 54,508.28/x
  3. Step 3: Cross multiply
    99,828.38x = 137,759.23 × 54,508.28
  4. Step 4: Simplify right side
    99,828.38x = 7,509,018,060.76
  5. Step 5: Solve for x
    x = 7,509,018,060.76/99,828.38
  6. Step 6: Final answer
    x = 75,219.27

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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.