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Finding the Fourth Proportional to 32,117.17, 44,292.25 and 27,578.31

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Solution

The fourth proportional to 32,117.17, 44,292.25 and 27,578.31 is: 38,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.17 : 44,292.25 = 27,578.31 : x
  2. Step 2: Convert to fraction form
    32,117.17/44,292.25 = 27,578.31/x
  3. Step 3: Cross multiply
    32,117.17x = 44,292.25 × 27,578.31
  4. Step 4: Simplify right side
    32,117.17x = 1,221,505,352.22
  5. Step 5: Solve for x
    x = 1,221,505,352.22/32,117.17
  6. Step 6: Final answer
    x = 38,032.78

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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.