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Finding the Fourth Proportional to 71,685.46, 98,897.52 and 41,465.17

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Solution

The fourth proportional to 71,685.46, 98,897.52 and 41,465.17 is: 57,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,685.46 : 98,897.52 = 41,465.17 : x
  2. Step 2: Convert to fraction form
    71,685.46/98,897.52 = 41,465.17/x
  3. Step 3: Cross multiply
    71,685.46x = 98,897.52 × 41,465.17
  4. Step 4: Simplify right side
    71,685.46x = 4,100,802,479.38
  5. Step 5: Solve for x
    x = 4,100,802,479.38/71,685.46
  6. Step 6: Final answer
    x = 57,205.50

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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.