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Finding the Fourth Proportional to 31,034.68, 46,523.78 and 11,308.74

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Solution

The fourth proportional to 31,034.68, 46,523.78 and 11,308.74 is: 16,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034.68 : 46,523.78 = 11,308.74 : x
  2. Step 2: Convert to fraction form
    31,034.68/46,523.78 = 11,308.74/x
  3. Step 3: Cross multiply
    31,034.68x = 46,523.78 × 11,308.74
  4. Step 4: Simplify right side
    31,034.68x = 526,125,331.84
  5. Step 5: Solve for x
    x = 526,125,331.84/31,034.68
  6. Step 6: Final answer
    x = 16,952.82

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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.