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Finding the Fourth Proportional to 31,304.33, 46,956.59 and 9,118.25

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Solution

The fourth proportional to 31,304.33, 46,956.59 and 9,118.25 is: 13,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304.33 : 46,956.59 = 9,118.25 : x
  2. Step 2: Convert to fraction form
    31,304.33/46,956.59 = 9,118.25/x
  3. Step 3: Cross multiply
    31,304.33x = 46,956.59 × 9,118.25
  4. Step 4: Simplify right side
    31,304.33x = 428,162,095.16
  5. Step 5: Solve for x
    x = 428,162,095.16/31,304.33
  6. Step 6: Final answer
    x = 13,677.41

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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.