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Finding the Fourth Proportional to 31,759.60, 43,830.92 and 17,617

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Solution

The fourth proportional to 31,759.60, 43,830.92 and 17,617 is: 24,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,759.60 : 43,830.92 = 17,617 : x
  2. Step 2: Convert to fraction form
    31,759.60/43,830.92 = 17,617/x
  3. Step 3: Cross multiply
    31,759.60x = 43,830.92 × 17,617
  4. Step 4: Simplify right side
    31,759.60x = 772,169,317.64
  5. Step 5: Solve for x
    x = 772,169,317.64/31,759.60
  6. Step 6: Final answer
    x = 24,312.94

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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.