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Finding the Fourth Proportional to 75,980.52, 113,937.75 and 29,200.50

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Solution

The fourth proportional to 75,980.52, 113,937.75 and 29,200.50 is: 43,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,980.52 : 113,937.75 = 29,200.50 : x
  2. Step 2: Convert to fraction form
    75,980.52/113,937.75 = 29,200.50/x
  3. Step 3: Cross multiply
    75,980.52x = 113,937.75 × 29,200.50
  4. Step 4: Simplify right side
    75,980.52x = 3,327,039,268.88
  5. Step 5: Solve for x
    x = 3,327,039,268.88/75,980.52
  6. Step 6: Final answer
    x = 43,788.06

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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.