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Finding the Fourth Proportional to 38,042.64, 57,064.02 and 10,340.64

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Solution

The fourth proportional to 38,042.64, 57,064.02 and 10,340.64 is: 15,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,042.64 : 57,064.02 = 10,340.64 : x
  2. Step 2: Convert to fraction form
    38,042.64/57,064.02 = 10,340.64/x
  3. Step 3: Cross multiply
    38,042.64x = 57,064.02 × 10,340.64
  4. Step 4: Simplify right side
    38,042.64x = 590,078,487.77
  5. Step 5: Solve for x
    x = 590,078,487.77/38,042.64
  6. Step 6: Final answer
    x = 15,510.98

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