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Finding the Fourth Proportional to 82,417.53, 113,735.61 and 44,691.78

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Solution

The fourth proportional to 82,417.53, 113,735.61 and 44,691.78 is: 61,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,417.53 : 113,735.61 = 44,691.78 : x
  2. Step 2: Convert to fraction form
    82,417.53/113,735.61 = 44,691.78/x
  3. Step 3: Cross multiply
    82,417.53x = 113,735.61 × 44,691.78
  4. Step 4: Simplify right side
    82,417.53x = 5,083,046,860.29
  5. Step 5: Solve for x
    x = 5,083,046,860.29/82,417.53
  6. Step 6: Final answer
    x = 61,674.34

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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.