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Finding the Fourth Proportional to 99,747, 137,650.86 and 55,035

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Solution

The fourth proportional to 99,747, 137,650.86 and 55,035 is: 75,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,747 : 137,650.86 = 55,035 : x
  2. Step 2: Convert to fraction form
    99,747/137,650.86 = 55,035/x
  3. Step 3: Cross multiply
    99,747x = 137,650.86 × 55,035
  4. Step 4: Simplify right side
    99,747x = 7,575,615,080.10
  5. Step 5: Solve for x
    x = 7,575,615,080.10/99,747
  6. Step 6: Final answer
    x = 75,948.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.