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Finding the Fourth Proportional to 32,721.40, 49,082.10 and 8,097.40

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Solution

The fourth proportional to 32,721.40, 49,082.10 and 8,097.40 is: 12,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,721.40 : 49,082.10 = 8,097.40 : x
  2. Step 2: Convert to fraction form
    32,721.40/49,082.10 = 8,097.40/x
  3. Step 3: Cross multiply
    32,721.40x = 49,082.10 × 8,097.40
  4. Step 4: Simplify right side
    32,721.40x = 397,437,396.54
  5. Step 5: Solve for x
    x = 397,437,396.54/32,721.40
  6. Step 6: Final answer
    x = 12,146.10

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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.