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Finding the Fourth Proportional to 82,265.95, 113,507.49 and 47,790.17

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Solution

The fourth proportional to 82,265.95, 113,507.49 and 47,790.17 is: 65,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,265.95 : 113,507.49 = 47,790.17 : x
  2. Step 2: Convert to fraction form
    82,265.95/113,507.49 = 47,790.17/x
  3. Step 3: Cross multiply
    82,265.95x = 113,507.49 × 47,790.17
  4. Step 4: Simplify right side
    82,265.95x = 5,424,542,280.70
  5. Step 5: Solve for x
    x = 5,424,542,280.70/82,265.95
  6. Step 6: Final answer
    x = 65,939.10

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1.5x scale

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.