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Finding the Fourth Proportional to 53,872.16, 74,340.05 and 31,209.30

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Solution

The fourth proportional to 53,872.16, 74,340.05 and 31,209.30 is: 43,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,872.16 : 74,340.05 = 31,209.30 : x
  2. Step 2: Convert to fraction form
    53,872.16/74,340.05 = 31,209.30/x
  3. Step 3: Cross multiply
    53,872.16x = 74,340.05 × 31,209.30
  4. Step 4: Simplify right side
    53,872.16x = 2,320,100,766.42
  5. Step 5: Solve for x
    x = 2,320,100,766.42/53,872.16
  6. Step 6: Final answer
    x = 43,066.79

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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.