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Finding the Fourth Proportional to 99,959.96, 137,948.46 and 54,640.99

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Solution

The fourth proportional to 99,959.96, 137,948.46 and 54,640.99 is: 75,406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,959.96 : 137,948.46 = 54,640.99 : x
  2. Step 2: Convert to fraction form
    99,959.96/137,948.46 = 54,640.99/x
  3. Step 3: Cross multiply
    99,959.96x = 137,948.46 × 54,640.99
  4. Step 4: Simplify right side
    99,959.96x = 7,537,640,423.38
  5. Step 5: Solve for x
    x = 7,537,640,423.38/99,959.96
  6. Step 6: Final answer
    x = 75,406.60

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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.