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Finding the Fourth Proportional to 69,740.94, 96,243.24 and 37,909.80

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Solution

The fourth proportional to 69,740.94, 96,243.24 and 37,909.80 is: 52,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,740.94 : 96,243.24 = 37,909.80 : x
  2. Step 2: Convert to fraction form
    69,740.94/96,243.24 = 37,909.80/x
  3. Step 3: Cross multiply
    69,740.94x = 96,243.24 × 37,909.80
  4. Step 4: Simplify right side
    69,740.94x = 3,648,561,979.75
  5. Step 5: Solve for x
    x = 3,648,561,979.75/69,740.94
  6. Step 6: Final answer
    x = 52,315.93

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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.