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Finding the Fourth Proportional to 54,987.60, 75,883.77 and 29,837.10

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Solution

The fourth proportional to 54,987.60, 75,883.77 and 29,837.10 is: 41,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,987.60 : 75,883.77 = 29,837.10 : x
  2. Step 2: Convert to fraction form
    54,987.60/75,883.77 = 29,837.10/x
  3. Step 3: Cross multiply
    54,987.60x = 75,883.77 × 29,837.10
  4. Step 4: Simplify right side
    54,987.60x = 2,264,151,633.87
  5. Step 5: Solve for x
    x = 2,264,151,633.87/54,987.60
  6. Step 6: Final answer
    x = 41,175.68

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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.