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Finding the Fourth Proportional to 38,480.69, 57,715.47 and 10,402.38

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Solution

The fourth proportional to 38,480.69, 57,715.47 and 10,402.38 is: 15,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,480.69 : 57,715.47 = 10,402.38 : x
  2. Step 2: Convert to fraction form
    38,480.69/57,715.47 = 10,402.38/x
  3. Step 3: Cross multiply
    38,480.69x = 57,715.47 × 10,402.38
  4. Step 4: Simplify right side
    38,480.69x = 600,378,250.82
  5. Step 5: Solve for x
    x = 600,378,250.82/38,480.69
  6. Step 6: Final answer
    x = 15,602.06

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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.