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Finding the Fourth Proportional to 82,002.13, 123,020.46 and 46,480.47

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Solution

The fourth proportional to 82,002.13, 123,020.46 and 46,480.47 is: 69,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,002.13 : 123,020.46 = 46,480.47 : x
  2. Step 2: Convert to fraction form
    82,002.13/123,020.46 = 46,480.47/x
  3. Step 3: Cross multiply
    82,002.13x = 123,020.46 × 46,480.47
  4. Step 4: Simplify right side
    82,002.13x = 5,718,048,185.31
  5. Step 5: Solve for x
    x = 5,718,048,185.31/82,002.13
  6. Step 6: Final answer
    x = 69,730.48

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