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Finding the Fourth Proportional to 74,833.26, 103,282.74 and 71,470.14

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Solution

The fourth proportional to 74,833.26, 103,282.74 and 71,470.14 is: 98,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,833.26 : 103,282.74 = 71,470.14 : x
  2. Step 2: Convert to fraction form
    74,833.26/103,282.74 = 71,470.14/x
  3. Step 3: Cross multiply
    74,833.26x = 103,282.74 × 71,470.14
  4. Step 4: Simplify right side
    74,833.26x = 7,381,631,887.38
  5. Step 5: Solve for x
    x = 7,381,631,887.38/74,833.26
  6. Step 6: Final answer
    x = 98,641.06

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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.