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Finding the Fourth Proportional to 38,034, 57,009.90 and 15,841.38

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Solution

The fourth proportional to 38,034, 57,009.90 and 15,841.38 is: 23,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,034 : 57,009.90 = 15,841.38 : x
  2. Step 2: Convert to fraction form
    38,034/57,009.90 = 15,841.38/x
  3. Step 3: Cross multiply
    38,034x = 57,009.90 × 15,841.38
  4. Step 4: Simplify right side
    38,034x = 903,115,489.66
  5. Step 5: Solve for x
    x = 903,115,489.66/38,034
  6. Step 6: Final answer
    x = 23,744.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.