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Finding the Fourth Proportional to 99,889.38, 137,853.72 and 57,447

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Solution

The fourth proportional to 99,889.38, 137,853.72 and 57,447 is: 79,280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,889.38 : 137,853.72 = 57,447 : x
  2. Step 2: Convert to fraction form
    99,889.38/137,853.72 = 57,447/x
  3. Step 3: Cross multiply
    99,889.38x = 137,853.72 × 57,447
  4. Step 4: Simplify right side
    99,889.38x = 7,919,282,652.84
  5. Step 5: Solve for x
    x = 7,919,282,652.84/99,889.38
  6. Step 6: Final answer
    x = 79,280.53

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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.