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Finding the Fourth Proportional to 31,147.35, 46,714.02 and 8,955.78

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Solution

The fourth proportional to 31,147.35, 46,714.02 and 8,955.78 is: 13,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147.35 : 46,714.02 = 8,955.78 : x
  2. Step 2: Convert to fraction form
    31,147.35/46,714.02 = 8,955.78/x
  3. Step 3: Cross multiply
    31,147.35x = 46,714.02 × 8,955.78
  4. Step 4: Simplify right side
    31,147.35x = 418,360,486.04
  5. Step 5: Solve for x
    x = 418,360,486.04/31,147.35
  6. Step 6: Final answer
    x = 13,431.66

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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.