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Finding the Fourth Proportional to 99,832.50, 149,770.62 and 37,503

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Solution

The fourth proportional to 99,832.50, 149,770.62 and 37,503 is: 56,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,832.50 : 149,770.62 = 37,503 : x
  2. Step 2: Convert to fraction form
    99,832.50/149,770.62 = 37,503/x
  3. Step 3: Cross multiply
    99,832.50x = 149,770.62 × 37,503
  4. Step 4: Simplify right side
    99,832.50x = 5,616,847,561.86
  5. Step 5: Solve for x
    x = 5,616,847,561.86/99,832.50
  6. Step 6: Final answer
    x = 56,262.72

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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.