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Finding the Fourth Proportional to 82,642.14, 114,045.30 and 44,916.12

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Solution

The fourth proportional to 82,642.14, 114,045.30 and 44,916.12 is: 61,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,642.14 : 114,045.30 = 44,916.12 : x
  2. Step 2: Convert to fraction form
    82,642.14/114,045.30 = 44,916.12/x
  3. Step 3: Cross multiply
    82,642.14x = 114,045.30 × 44,916.12
  4. Step 4: Simplify right side
    82,642.14x = 5,122,472,380.24
  5. Step 5: Solve for x
    x = 5,122,472,380.24/82,642.14
  6. Step 6: Final answer
    x = 61,983.78

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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.