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Finding the Fourth Proportional to 38,194.13, 52,707.90 and 23,290.13

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Solution

The fourth proportional to 38,194.13, 52,707.90 and 23,290.13 is: 32,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,194.13 : 52,707.90 = 23,290.13 : x
  2. Step 2: Convert to fraction form
    38,194.13/52,707.90 = 23,290.13/x
  3. Step 3: Cross multiply
    38,194.13x = 52,707.90 × 23,290.13
  4. Step 4: Simplify right side
    38,194.13x = 1,227,573,579.49
  5. Step 5: Solve for x
    x = 1,227,573,579.49/38,194.13
  6. Step 6: Final answer
    x = 32,140.38

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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.