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Finding the Fourth Proportional to 49,523.32, 74,116.06 and 31,502.44

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Solution

The fourth proportional to 49,523.32, 74,116.06 and 31,502.44 is: 47,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,523.32 : 74,116.06 = 31,502.44 : x
  2. Step 2: Convert to fraction form
    49,523.32/74,116.06 = 31,502.44/x
  3. Step 3: Cross multiply
    49,523.32x = 74,116.06 × 31,502.44
  4. Step 4: Simplify right side
    49,523.32x = 2,334,837,132.73
  5. Step 5: Solve for x
    x = 2,334,837,132.73/49,523.32
  6. Step 6: Final answer
    x = 47,146.21

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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.