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Finding the Fourth Proportional to 54,882.04, 75,738.72 and 31,008.24

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Solution

The fourth proportional to 54,882.04, 75,738.72 and 31,008.24 is: 42,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882.04 : 75,738.72 = 31,008.24 : x
  2. Step 2: Convert to fraction form
    54,882.04/75,738.72 = 31,008.24/x
  3. Step 3: Cross multiply
    54,882.04x = 75,738.72 × 31,008.24
  4. Step 4: Simplify right side
    54,882.04x = 2,348,524,407.05
  5. Step 5: Solve for x
    x = 2,348,524,407.05/54,882.04
  6. Step 6: Final answer
    x = 42,792.22

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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.