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Finding the Fourth Proportional to 98,812, 148,242.12 and 32,255.20

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Solution

The fourth proportional to 98,812, 148,242.12 and 32,255.20 is: 48,390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,812 : 148,242.12 = 32,255.20 : x
  2. Step 2: Convert to fraction form
    98,812/148,242.12 = 32,255.20/x
  3. Step 3: Cross multiply
    98,812x = 148,242.12 × 32,255.20
  4. Step 4: Simplify right side
    98,812x = 4,781,579,229.02
  5. Step 5: Solve for x
    x = 4,781,579,229.02/98,812
  6. Step 6: Final answer
    x = 48,390.67

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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.