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Finding the Fourth Proportional to 98,770.91, 148,179.95 and 32,211.10

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Solution

The fourth proportional to 98,770.91, 148,179.95 and 32,211.10 is: 48,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,770.91 : 148,179.95 = 32,211.10 : x
  2. Step 2: Convert to fraction form
    98,770.91/148,179.95 = 32,211.10/x
  3. Step 3: Cross multiply
    98,770.91x = 148,179.95 × 32,211.10
  4. Step 4: Simplify right side
    98,770.91x = 4,773,038,285.49
  5. Step 5: Solve for x
    x = 4,773,038,285.49/98,770.91
  6. Step 6: Final answer
    x = 48,324.33

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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.