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Finding the Fourth Proportional to 69,543.80, 95,970.50 and 37,712.69

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Solution

The fourth proportional to 69,543.80, 95,970.50 and 37,712.69 is: 52,043.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,543.80 : 95,970.50 = 37,712.69 : x
  2. Step 2: Convert to fraction form
    69,543.80/95,970.50 = 37,712.69/x
  3. Step 3: Cross multiply
    69,543.80x = 95,970.50 × 37,712.69
  4. Step 4: Simplify right side
    69,543.80x = 3,619,305,715.65
  5. Step 5: Solve for x
    x = 3,619,305,715.65/69,543.80
  6. Step 6: Final answer
    x = 52,043.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.