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Finding the Fourth Proportional to 31,382.76, 47,064.15 and 10,317.90

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Solution

The fourth proportional to 31,382.76, 47,064.15 and 10,317.90 is: 15,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.76 : 47,064.15 = 10,317.90 : x
  2. Step 2: Convert to fraction form
    31,382.76/47,064.15 = 10,317.90/x
  3. Step 3: Cross multiply
    31,382.76x = 47,064.15 × 10,317.90
  4. Step 4: Simplify right side
    31,382.76x = 485,603,193.29
  5. Step 5: Solve for x
    x = 485,603,193.29/31,382.76
  6. Step 6: Final answer
    x = 15,473.57

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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.