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Finding the Fourth Proportional to 82,715.40, 124,073.10 and 43,284.60

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Solution

The fourth proportional to 82,715.40, 124,073.10 and 43,284.60 is: 64,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,715.40 : 124,073.10 = 43,284.60 : x
  2. Step 2: Convert to fraction form
    82,715.40/124,073.10 = 43,284.60/x
  3. Step 3: Cross multiply
    82,715.40x = 124,073.10 × 43,284.60
  4. Step 4: Simplify right side
    82,715.40x = 5,370,454,504.26
  5. Step 5: Solve for x
    x = 5,370,454,504.26/82,715.40
  6. Step 6: Final answer
    x = 64,926.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.