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Finding the Fourth Proportional to 60,584.86, 83,578.38 and 42,689.71

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Solution

The fourth proportional to 60,584.86, 83,578.38 and 42,689.71 is: 58,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,584.86 : 83,578.38 = 42,689.71 : x
  2. Step 2: Convert to fraction form
    60,584.86/83,578.38 = 42,689.71/x
  3. Step 3: Cross multiply
    60,584.86x = 83,578.38 × 42,689.71
  4. Step 4: Simplify right side
    60,584.86x = 3,567,936,386.58
  5. Step 5: Solve for x
    x = 3,567,936,386.58/60,584.86
  6. Step 6: Final answer
    x = 58,891.56

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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.