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Finding the Fourth Proportional to 31,254.26, 46,871.60 and 9,069.17

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Solution

The fourth proportional to 31,254.26, 46,871.60 and 9,069.17 is: 13,600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,254.26 : 46,871.60 = 9,069.17 : x
  2. Step 2: Convert to fraction form
    31,254.26/46,871.60 = 9,069.17/x
  3. Step 3: Cross multiply
    31,254.26x = 46,871.60 × 9,069.17
  4. Step 4: Simplify right side
    31,254.26x = 425,086,228.87
  5. Step 5: Solve for x
    x = 425,086,228.87/31,254.26
  6. Step 6: Final answer
    x = 13,600.91

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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.