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Finding the Fourth Proportional to 31,393.67, 47,089.29 and 10,617.17

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Solution

The fourth proportional to 31,393.67, 47,089.29 and 10,617.17 is: 15,925.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,393.67 : 47,089.29 = 10,617.17 : x
  2. Step 2: Convert to fraction form
    31,393.67/47,089.29 = 10,617.17/x
  3. Step 3: Cross multiply
    31,393.67x = 47,089.29 × 10,617.17
  4. Step 4: Simplify right side
    31,393.67x = 499,954,997.11
  5. Step 5: Solve for x
    x = 499,954,997.11/31,393.67
  6. Step 6: Final answer
    x = 15,925.34

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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.