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Finding the Fourth Proportional to 31,935.57, 44,071.05 and 17,788.38

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Solution

The fourth proportional to 31,935.57, 44,071.05 and 17,788.38 is: 24,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,935.57 : 44,071.05 = 17,788.38 : x
  2. Step 2: Convert to fraction form
    31,935.57/44,071.05 = 17,788.38/x
  3. Step 3: Cross multiply
    31,935.57x = 44,071.05 × 17,788.38
  4. Step 4: Simplify right side
    31,935.57x = 783,952,584.40
  5. Step 5: Solve for x
    x = 783,952,584.40/31,935.57
  6. Step 6: Final answer
    x = 24,547.94

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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.