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Finding the Fourth Proportional to 54,948.48, 75,829.12 and 29,798.40

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Solution

The fourth proportional to 54,948.48, 75,829.12 and 29,798.40 is: 41,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,948.48 : 75,829.12 = 29,798.40 : x
  2. Step 2: Convert to fraction form
    54,948.48/75,829.12 = 29,798.40/x
  3. Step 3: Cross multiply
    54,948.48x = 75,829.12 × 29,798.40
  4. Step 4: Simplify right side
    54,948.48x = 2,259,586,449.41
  5. Step 5: Solve for x
    x = 2,259,586,449.41/54,948.48
  6. Step 6: Final answer
    x = 41,121.91

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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.