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Finding the Fourth Proportional to 49,132.50, 67,813.80 and 31,224

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Solution

The fourth proportional to 49,132.50, 67,813.80 and 31,224 is: 43,096.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,132.50 : 67,813.80 = 31,224 : x
  2. Step 2: Convert to fraction form
    49,132.50/67,813.80 = 31,224/x
  3. Step 3: Cross multiply
    49,132.50x = 67,813.80 × 31,224
  4. Step 4: Simplify right side
    49,132.50x = 2,117,418,091.20
  5. Step 5: Solve for x
    x = 2,117,418,091.20/49,132.50
  6. Step 6: Final answer
    x = 43,096.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.