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Finding the Fourth Proportional to 38,042.62, 57,064 and 10,340.62

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Solution

The fourth proportional to 38,042.62, 57,064 and 10,340.62 is: 15,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,042.62 : 57,064 = 10,340.62 : x
  2. Step 2: Convert to fraction form
    38,042.62/57,064 = 10,340.62/x
  3. Step 3: Cross multiply
    38,042.62x = 57,064 × 10,340.62
  4. Step 4: Simplify right side
    38,042.62x = 590,077,139.68
  5. Step 5: Solve for x
    x = 590,077,139.68/38,042.62
  6. Step 6: Final answer
    x = 15,510.95

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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.