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Finding the Fourth Proportional to 74,097.80, 102,255.77 and 42,268.58

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Solution

The fourth proportional to 74,097.80, 102,255.77 and 42,268.58 is: 58,331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,097.80 : 102,255.77 = 42,268.58 : x
  2. Step 2: Convert to fraction form
    74,097.80/102,255.77 = 42,268.58/x
  3. Step 3: Cross multiply
    74,097.80x = 102,255.77 × 42,268.58
  4. Step 4: Simplify right side
    74,097.80x = 4,322,205,789.10
  5. Step 5: Solve for x
    x = 4,322,205,789.10/74,097.80
  6. Step 6: Final answer
    x = 58,331.10

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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.