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Finding the Fourth Proportional to 32,426.76, 48,640.14 and 7,802.76

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Solution

The fourth proportional to 32,426.76, 48,640.14 and 7,802.76 is: 11,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,426.76 : 48,640.14 = 7,802.76 : x
  2. Step 2: Convert to fraction form
    32,426.76/48,640.14 = 7,802.76/x
  3. Step 3: Cross multiply
    32,426.76x = 48,640.14 × 7,802.76
  4. Step 4: Simplify right side
    32,426.76x = 379,527,338.79
  5. Step 5: Solve for x
    x = 379,527,338.79/32,426.76
  6. Step 6: Final answer
    x = 11,704.14

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Similar ratio
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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.