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Finding the Fourth Proportional to 38,506.36, 53,139.22 and 22,591.08

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Solution

The fourth proportional to 38,506.36, 53,139.22 and 22,591.08 is: 31,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.36 : 53,139.22 = 22,591.08 : x
  2. Step 2: Convert to fraction form
    38,506.36/53,139.22 = 22,591.08/x
  3. Step 3: Cross multiply
    38,506.36x = 53,139.22 × 22,591.08
  4. Step 4: Simplify right side
    38,506.36x = 1,200,472,370.16
  5. Step 5: Solve for x
    x = 1,200,472,370.16/38,506.36
  6. Step 6: Final answer
    x = 31,175.95

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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.