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Finding the Fourth Proportional to 31,610.64, 47,415.97 and 17,563.96

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Solution

The fourth proportional to 31,610.64, 47,415.97 and 17,563.96 is: 26,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610.64 : 47,415.97 = 17,563.96 : x
  2. Step 2: Convert to fraction form
    31,610.64/47,415.97 = 17,563.96/x
  3. Step 3: Cross multiply
    31,610.64x = 47,415.97 × 17,563.96
  4. Step 4: Simplify right side
    31,610.64x = 832,812,281.67
  5. Step 5: Solve for x
    x = 832,812,281.67/31,610.64
  6. Step 6: Final answer
    x = 26,345.95

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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.