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Finding the Fourth Proportional to 52,074.50, 78,067.94 and 42,189.26

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Solution

The fourth proportional to 52,074.50, 78,067.94 and 42,189.26 is: 63,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,074.50 : 78,067.94 = 42,189.26 : x
  2. Step 2: Convert to fraction form
    52,074.50/78,067.94 = 42,189.26/x
  3. Step 3: Cross multiply
    52,074.50x = 78,067.94 × 42,189.26
  4. Step 4: Simplify right side
    52,074.50x = 3,293,628,618.32
  5. Step 5: Solve for x
    x = 3,293,628,618.32/52,074.50
  6. Step 6: Final answer
    x = 63,248.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.