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Finding the Fourth Proportional to 75,886.72, 113,842.43 and 28,505.50

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Solution

The fourth proportional to 75,886.72, 113,842.43 and 28,505.50 is: 42,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,886.72 : 113,842.43 = 28,505.50 : x
  2. Step 2: Convert to fraction form
    75,886.72/113,842.43 = 28,505.50/x
  3. Step 3: Cross multiply
    75,886.72x = 113,842.43 × 28,505.50
  4. Step 4: Simplify right side
    75,886.72x = 3,245,135,388.37
  5. Step 5: Solve for x
    x = 3,245,135,388.37/75,886.72
  6. Step 6: Final answer
    x = 42,762.89

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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.