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Finding the Fourth Proportional to 82,844.40, 124,007.40 and 65,218.80

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Solution

The fourth proportional to 82,844.40, 124,007.40 and 65,218.80 is: 97,624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,844.40 : 124,007.40 = 65,218.80 : x
  2. Step 2: Convert to fraction form
    82,844.40/124,007.40 = 65,218.80/x
  3. Step 3: Cross multiply
    82,844.40x = 124,007.40 × 65,218.80
  4. Step 4: Simplify right side
    82,844.40x = 8,087,613,819.12
  5. Step 5: Solve for x
    x = 8,087,613,819.12/82,844.40
  6. Step 6: Final answer
    x = 97,624.15

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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.