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Finding the Fourth Proportional to 38,446.13, 53,055.72 and 22,530.60

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Solution

The fourth proportional to 38,446.13, 53,055.72 and 22,530.60 is: 31,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,446.13 : 53,055.72 = 22,530.60 : x
  2. Step 2: Convert to fraction form
    38,446.13/53,055.72 = 22,530.60/x
  3. Step 3: Cross multiply
    38,446.13x = 53,055.72 × 22,530.60
  4. Step 4: Simplify right side
    38,446.13x = 1,195,377,205.03
  5. Step 5: Solve for x
    x = 1,195,377,205.03/38,446.13
  6. Step 6: Final answer
    x = 31,092.26

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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.