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Finding the Fourth Proportional to 52,601.88, 72,578.64 and 31,377

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Solution

The fourth proportional to 52,601.88, 72,578.64 and 31,377 is: 43,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,601.88 : 72,578.64 = 31,377 : x
  2. Step 2: Convert to fraction form
    52,601.88/72,578.64 = 31,377/x
  3. Step 3: Cross multiply
    52,601.88x = 72,578.64 × 31,377
  4. Step 4: Simplify right side
    52,601.88x = 2,277,299,987.28
  5. Step 5: Solve for x
    x = 2,277,299,987.28/52,601.88
  6. Step 6: Final answer
    x = 43,293.13

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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.