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Finding the Fourth Proportional to 77,760.62, 116,640.83 and 24,457.28

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Solution

The fourth proportional to 77,760.62, 116,640.83 and 24,457.28 is: 36,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,760.62 : 116,640.83 = 24,457.28 : x
  2. Step 2: Convert to fraction form
    77,760.62/116,640.83 = 24,457.28/x
  3. Step 3: Cross multiply
    77,760.62x = 116,640.83 × 24,457.28
  4. Step 4: Simplify right side
    77,760.62x = 2,852,717,429.92
  5. Step 5: Solve for x
    x = 2,852,717,429.92/77,760.62
  6. Step 6: Final answer
    x = 36,685.89

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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.