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Finding the Fourth Proportional to 99,513.70, 149,270.55 and 32,964.10

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Solution

The fourth proportional to 99,513.70, 149,270.55 and 32,964.10 is: 49,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,513.70 : 149,270.55 = 32,964.10 : x
  2. Step 2: Convert to fraction form
    99,513.70/149,270.55 = 32,964.10/x
  3. Step 3: Cross multiply
    99,513.70x = 149,270.55 × 32,964.10
  4. Step 4: Simplify right side
    99,513.70x = 4,920,569,337.26
  5. Step 5: Solve for x
    x = 4,920,569,337.26/99,513.70
  6. Step 6: Final answer
    x = 49,446.15

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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.