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Finding the Fourth Proportional to 27,567.63, 38,061.54 and 24,578.28

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Solution

The fourth proportional to 27,567.63, 38,061.54 and 24,578.28 is: 33,934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567.63 : 38,061.54 = 24,578.28 : x
  2. Step 2: Convert to fraction form
    27,567.63/38,061.54 = 24,578.28/x
  3. Step 3: Cross multiply
    27,567.63x = 38,061.54 × 24,578.28
  4. Step 4: Simplify right side
    27,567.63x = 935,487,187.35
  5. Step 5: Solve for x
    x = 935,487,187.35/27,567.63
  6. Step 6: Final answer
    x = 33,934.26

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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.