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Finding the Fourth Proportional to 54,378.48, 75,045.75 and 30,506.70

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Solution

The fourth proportional to 54,378.48, 75,045.75 and 30,506.70 is: 42,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,378.48 : 75,045.75 = 30,506.70 : x
  2. Step 2: Convert to fraction form
    54,378.48/75,045.75 = 30,506.70/x
  3. Step 3: Cross multiply
    54,378.48x = 75,045.75 × 30,506.70
  4. Step 4: Simplify right side
    54,378.48x = 2,289,398,181.53
  5. Step 5: Solve for x
    x = 2,289,398,181.53/54,378.48
  6. Step 6: Final answer
    x = 42,101.18

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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.