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Finding the Fourth Proportional to 32,731.80, 49,097.70 and 8,107.80

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Solution

The fourth proportional to 32,731.80, 49,097.70 and 8,107.80 is: 12,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,731.80 : 49,097.70 = 8,107.80 : x
  2. Step 2: Convert to fraction form
    32,731.80/49,097.70 = 8,107.80/x
  3. Step 3: Cross multiply
    32,731.80x = 49,097.70 × 8,107.80
  4. Step 4: Simplify right side
    32,731.80x = 398,074,332.06
  5. Step 5: Solve for x
    x = 398,074,332.06/32,731.80
  6. Step 6: Final answer
    x = 12,161.70

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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.