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Finding the Fourth Proportional to 54,589.12, 75,326.88 and 30,724

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Solution

The fourth proportional to 54,589.12, 75,326.88 and 30,724 is: 42,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,589.12 : 75,326.88 = 30,724 : x
  2. Step 2: Convert to fraction form
    54,589.12/75,326.88 = 30,724/x
  3. Step 3: Cross multiply
    54,589.12x = 75,326.88 × 30,724
  4. Step 4: Simplify right side
    54,589.12x = 2,314,343,061.12
  5. Step 5: Solve for x
    x = 2,314,343,061.12/54,589.12
  6. Step 6: Final answer
    x = 42,395.68

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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.