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Finding the Fourth Proportional to 38,690.25, 53,402.04 and 23,591.23

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Solution

The fourth proportional to 38,690.25, 53,402.04 and 23,591.23 is: 32,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,690.25 : 53,402.04 = 23,591.23 : x
  2. Step 2: Convert to fraction form
    38,690.25/53,402.04 = 23,591.23/x
  3. Step 3: Cross multiply
    38,690.25x = 53,402.04 × 23,591.23
  4. Step 4: Simplify right side
    38,690.25x = 1,259,819,423.14
  5. Step 5: Solve for x
    x = 1,259,819,423.14/38,690.25
  6. Step 6: Final answer
    x = 32,561.68

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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.