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Finding the Fourth Proportional to 99,663.16, 137,528.62 and 54,951.48

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Solution

The fourth proportional to 99,663.16, 137,528.62 and 54,951.48 is: 75,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,663.16 : 137,528.62 = 54,951.48 : x
  2. Step 2: Convert to fraction form
    99,663.16/137,528.62 = 54,951.48/x
  3. Step 3: Cross multiply
    99,663.16x = 137,528.62 × 54,951.48
  4. Step 4: Simplify right side
    99,663.16x = 7,557,401,211.36
  5. Step 5: Solve for x
    x = 7,557,401,211.36/99,663.16
  6. Step 6: Final answer
    x = 75,829.44

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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.