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Finding the Fourth Proportional to 82,459.98, 113,785.17 and 46,163.41

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Solution

The fourth proportional to 82,459.98, 113,785.17 and 46,163.41 is: 63,700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,459.98 : 113,785.17 = 46,163.41 : x
  2. Step 2: Convert to fraction form
    82,459.98/113,785.17 = 46,163.41/x
  3. Step 3: Cross multiply
    82,459.98x = 113,785.17 × 46,163.41
  4. Step 4: Simplify right side
    82,459.98x = 5,252,711,454.63
  5. Step 5: Solve for x
    x = 5,252,711,454.63/82,459.98
  6. Step 6: Final answer
    x = 63,700.13

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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.