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Finding the Fourth Proportional to 31,104.80, 46,643.52 and 11,378.24

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Solution

The fourth proportional to 31,104.80, 46,643.52 and 11,378.24 is: 17,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104.80 : 46,643.52 = 11,378.24 : x
  2. Step 2: Convert to fraction form
    31,104.80/46,643.52 = 11,378.24/x
  3. Step 3: Cross multiply
    31,104.80x = 46,643.52 × 11,378.24
  4. Step 4: Simplify right side
    31,104.80x = 530,721,165.00
  5. Step 5: Solve for x
    x = 530,721,165.00/31,104.80
  6. Step 6: Final answer
    x = 17,062.36

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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.