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Finding the Fourth Proportional to 38,706.11, 53,401.82 and 22,569.77

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Solution

The fourth proportional to 38,706.11, 53,401.82 and 22,569.77 is: 31,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.11 : 53,401.82 = 22,569.77 : x
  2. Step 2: Convert to fraction form
    38,706.11/53,401.82 = 22,569.77/x
  3. Step 3: Cross multiply
    38,706.11x = 53,401.82 × 22,569.77
  4. Step 4: Simplify right side
    38,706.11x = 1,205,266,615.38
  5. Step 5: Solve for x
    x = 1,205,266,615.38/38,706.11
  6. Step 6: Final answer
    x = 31,138.92

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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.