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Finding the Fourth Proportional to 77,680.80, 116,463.60 and 33,271.20

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Solution

The fourth proportional to 77,680.80, 116,463.60 and 33,271.20 is: 49,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,680.80 : 116,463.60 = 33,271.20 : x
  2. Step 2: Convert to fraction form
    77,680.80/116,463.60 = 33,271.20/x
  3. Step 3: Cross multiply
    77,680.80x = 116,463.60 × 33,271.20
  4. Step 4: Simplify right side
    77,680.80x = 3,874,883,728.32
  5. Step 5: Solve for x
    x = 3,874,883,728.32/77,680.80
  6. Step 6: Final answer
    x = 49,882.13

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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.