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Finding the Fourth Proportional to 116,703.76, 175,011.36 and 37,796.80

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Solution

The fourth proportional to 116,703.76, 175,011.36 and 37,796.80 is: 56,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,703.76 : 175,011.36 = 37,796.80 : x
  2. Step 2: Convert to fraction form
    116,703.76/175,011.36 = 37,796.80/x
  3. Step 3: Cross multiply
    116,703.76x = 175,011.36 × 37,796.80
  4. Step 4: Simplify right side
    116,703.76x = 6,614,869,371.65
  5. Step 5: Solve for x
    x = 6,614,869,371.65/116,703.76
  6. Step 6: Final answer
    x = 56,680.86

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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.