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Finding the Fourth Proportional to 75,885.72, 113,840.93 and 28,504.50

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Solution

The fourth proportional to 75,885.72, 113,840.93 and 28,504.50 is: 42,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,885.72 : 113,840.93 = 28,504.50 : x
  2. Step 2: Convert to fraction form
    75,885.72/113,840.93 = 28,504.50/x
  3. Step 3: Cross multiply
    75,885.72x = 113,840.93 × 28,504.50
  4. Step 4: Simplify right side
    75,885.72x = 3,244,978,646.66
  5. Step 5: Solve for x
    x = 3,244,978,646.66/75,885.72
  6. Step 6: Final answer
    x = 42,761.39

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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.