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Finding the Fourth Proportional to 82,002.80, 113,179.56 and 48,018.80

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Solution

The fourth proportional to 82,002.80, 113,179.56 and 48,018.80 is: 66,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,002.80 : 113,179.56 = 48,018.80 : x
  2. Step 2: Convert to fraction form
    82,002.80/113,179.56 = 48,018.80/x
  3. Step 3: Cross multiply
    82,002.80x = 113,179.56 × 48,018.80
  4. Step 4: Simplify right side
    82,002.80x = 5,434,746,655.73
  5. Step 5: Solve for x
    x = 5,434,746,655.73/82,002.80
  6. Step 6: Final answer
    x = 66,275.14

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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.