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Finding the Fourth Proportional to 31,575.72, 43,574.29 and 17,235.50

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Solution

The fourth proportional to 31,575.72, 43,574.29 and 17,235.50 is: 23,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,575.72 : 43,574.29 = 17,235.50 : x
  2. Step 2: Convert to fraction form
    31,575.72/43,574.29 = 17,235.50/x
  3. Step 3: Cross multiply
    31,575.72x = 43,574.29 × 17,235.50
  4. Step 4: Simplify right side
    31,575.72x = 751,024,371.25
  5. Step 5: Solve for x
    x = 751,024,371.25/31,575.72
  6. Step 6: Final answer
    x = 23,784.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.