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Finding the Fourth Proportional to 31,617.41, 47,410.16 and 10,549.98

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Solution

The fourth proportional to 31,617.41, 47,410.16 and 10,549.98 is: 15,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,617.41 : 47,410.16 = 10,549.98 : x
  2. Step 2: Convert to fraction form
    31,617.41/47,410.16 = 10,549.98/x
  3. Step 3: Cross multiply
    31,617.41x = 47,410.16 × 10,549.98
  4. Step 4: Simplify right side
    31,617.41x = 500,176,187.05
  5. Step 5: Solve for x
    x = 500,176,187.05/31,617.41
  6. Step 6: Final answer
    x = 15,819.65

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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.