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Finding the Fourth Proportional to 75,445.50, 113,192.80 and 35,997.50

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Solution

The fourth proportional to 75,445.50, 113,192.80 and 35,997.50 is: 54,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,445.50 : 113,192.80 = 35,997.50 : x
  2. Step 2: Convert to fraction form
    75,445.50/113,192.80 = 35,997.50/x
  3. Step 3: Cross multiply
    75,445.50x = 113,192.80 × 35,997.50
  4. Step 4: Simplify right side
    75,445.50x = 4,074,657,818
  5. Step 5: Solve for x
    x = 4,074,657,818/75,445.50
  6. Step 6: Final answer
    x = 54,007.96

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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.