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Finding the Fourth Proportional to 82,002.66, 123,004.02 and 63,310.02

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Solution

The fourth proportional to 82,002.66, 123,004.02 and 63,310.02 is: 94,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,002.66 : 123,004.02 = 63,310.02 : x
  2. Step 2: Convert to fraction form
    82,002.66/123,004.02 = 63,310.02/x
  3. Step 3: Cross multiply
    82,002.66x = 123,004.02 × 63,310.02
  4. Step 4: Simplify right side
    82,002.66x = 7,787,386,966.28
  5. Step 5: Solve for x
    x = 7,787,386,966.28/82,002.66
  6. Step 6: Final answer
    x = 94,965.05

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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.