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Finding the Fourth Proportional to 109,747, 151,452 and 59,447.08

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Solution

The fourth proportional to 109,747, 151,452 and 59,447.08 is: 82,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,747 : 151,452 = 59,447.08 : x
  2. Step 2: Convert to fraction form
    109,747/151,452 = 59,447.08/x
  3. Step 3: Cross multiply
    109,747x = 151,452 × 59,447.08
  4. Step 4: Simplify right side
    109,747x = 9,003,379,160.16
  5. Step 5: Solve for x
    x = 9,003,379,160.16/109,747
  6. Step 6: Final answer
    x = 82,037.59

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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.