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Finding the Fourth Proportional to 54,948.48, 75,828.96 and 29,798

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Solution

The fourth proportional to 54,948.48, 75,828.96 and 29,798 is: 41,121.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,948.48 : 75,828.96 = 29,798 : x
  2. Step 2: Convert to fraction form
    54,948.48/75,828.96 = 29,798/x
  3. Step 3: Cross multiply
    54,948.48x = 75,828.96 × 29,798
  4. Step 4: Simplify right side
    54,948.48x = 2,259,551,350.08
  5. Step 5: Solve for x
    x = 2,259,551,350.08/54,948.48
  6. Step 6: Final answer
    x = 41,121.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.