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Finding the Fourth Proportional to 38,781.65, 53,523.71 and 23,671.17

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Solution

The fourth proportional to 38,781.65, 53,523.71 and 23,671.17 is: 32,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,781.65 : 53,523.71 = 23,671.17 : x
  2. Step 2: Convert to fraction form
    38,781.65/53,523.71 = 23,671.17/x
  3. Step 3: Cross multiply
    38,781.65x = 53,523.71 × 23,671.17
  4. Step 4: Simplify right side
    38,781.65x = 1,266,968,838.44
  5. Step 5: Solve for x
    x = 1,266,968,838.44/38,781.65
  6. Step 6: Final answer
    x = 32,669.29

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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.