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Finding the Fourth Proportional to 31,610.44, 47,376.24 and 17,578

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Solution

The fourth proportional to 31,610.44, 47,376.24 and 17,578 is: 26,345.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610.44 : 47,376.24 = 17,578 : x
  2. Step 2: Convert to fraction form
    31,610.44/47,376.24 = 17,578/x
  3. Step 3: Cross multiply
    31,610.44x = 47,376.24 × 17,578
  4. Step 4: Simplify right side
    31,610.44x = 832,779,546.72
  5. Step 5: Solve for x
    x = 832,779,546.72/31,610.44
  6. Step 6: Final answer
    x = 26,345.08

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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.