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Finding the Fourth Proportional to 99,200.16, 148,809.69 and 32,640.84

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Solution

The fourth proportional to 99,200.16, 148,809.69 and 32,640.84 is: 48,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,200.16 : 148,809.69 = 32,640.84 : x
  2. Step 2: Convert to fraction form
    99,200.16/148,809.69 = 32,640.84/x
  3. Step 3: Cross multiply
    99,200.16x = 148,809.69 × 32,640.84
  4. Step 4: Simplify right side
    99,200.16x = 4,857,273,281.74
  5. Step 5: Solve for x
    x = 4,857,273,281.74/99,200.16
  6. Step 6: Final answer
    x = 48,964.37

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1.5x scale

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.