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Finding the Fourth Proportional to 99,087.75, 148,647.11 and 32,512.74

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Solution

The fourth proportional to 99,087.75, 148,647.11 and 32,512.74 is: 48,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,087.75 : 148,647.11 = 32,512.74 : x
  2. Step 2: Convert to fraction form
    99,087.75/148,647.11 = 32,512.74/x
  3. Step 3: Cross multiply
    99,087.75x = 148,647.11 × 32,512.74
  4. Step 4: Simplify right side
    99,087.75x = 4,832,924,119.19
  5. Step 5: Solve for x
    x = 4,832,924,119.19/99,087.75
  6. Step 6: Final answer
    x = 48,774.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.