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Finding the Fourth Proportional to 38,549.34, 53,189.19 and 22,633.02

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Solution

The fourth proportional to 38,549.34, 53,189.19 and 22,633.02 is: 31,228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,549.34 : 53,189.19 = 22,633.02 : x
  2. Step 2: Convert to fraction form
    38,549.34/53,189.19 = 22,633.02/x
  3. Step 3: Cross multiply
    38,549.34x = 53,189.19 × 22,633.02
  4. Step 4: Simplify right side
    38,549.34x = 1,203,832,001.05
  5. Step 5: Solve for x
    x = 1,203,832,001.05/38,549.34
  6. Step 6: Final answer
    x = 31,228.34

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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.