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Finding the Fourth Proportional to 38,003.76, 52,425.36 and 25,426.08

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Solution

The fourth proportional to 38,003.76, 52,425.36 and 25,426.08 is: 35,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,003.76 : 52,425.36 = 25,426.08 : x
  2. Step 2: Convert to fraction form
    38,003.76/52,425.36 = 25,426.08/x
  3. Step 3: Cross multiply
    38,003.76x = 52,425.36 × 25,426.08
  4. Step 4: Simplify right side
    38,003.76x = 1,332,971,397.39
  5. Step 5: Solve for x
    x = 1,332,971,397.39/38,003.76
  6. Step 6: Final answer
    x = 35,074.72

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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.