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Finding the Fourth Proportional to 31,564.89, 47,317.77 and 15,760.17

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Solution

The fourth proportional to 31,564.89, 47,317.77 and 15,760.17 is: 23,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.89 : 47,317.77 = 15,760.17 : x
  2. Step 2: Convert to fraction form
    31,564.89/47,317.77 = 15,760.17/x
  3. Step 3: Cross multiply
    31,564.89x = 47,317.77 × 15,760.17
  4. Step 4: Simplify right side
    31,564.89x = 745,736,099.22
  5. Step 5: Solve for x
    x = 745,736,099.22/31,564.89
  6. Step 6: Final answer
    x = 23,625.49

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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.