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Finding the Fourth Proportional to 77,175.91, 115,957.59 and 49,108.15

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Solution

The fourth proportional to 77,175.91, 115,957.59 and 49,108.15 is: 73,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,175.91 : 115,957.59 = 49,108.15 : x
  2. Step 2: Convert to fraction form
    77,175.91/115,957.59 = 49,108.15/x
  3. Step 3: Cross multiply
    77,175.91x = 115,957.59 × 49,108.15
  4. Step 4: Simplify right side
    77,175.91x = 5,694,462,723.36
  5. Step 5: Solve for x
    x = 5,694,462,723.36/77,175.91
  6. Step 6: Final answer
    x = 73,785.50

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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.