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Finding the Fourth Proportional to 71,647.80, 98,807.88 and 48,712.14

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Solution

The fourth proportional to 71,647.80, 98,807.88 and 48,712.14 is: 67,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,647.80 : 98,807.88 = 48,712.14 : x
  2. Step 2: Convert to fraction form
    71,647.80/98,807.88 = 48,712.14/x
  3. Step 3: Cross multiply
    71,647.80x = 98,807.88 × 48,712.14
  4. Step 4: Simplify right side
    71,647.80x = 4,813,143,283.66
  5. Step 5: Solve for x
    x = 4,813,143,283.66/71,647.80
  6. Step 6: Final answer
    x = 67,177.82

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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.