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Finding the Fourth Proportional to 69,860.42, 96,193.88 and 52,657.78

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Solution

The fourth proportional to 69,860.42, 96,193.88 and 52,657.78 is: 72,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,860.42 : 96,193.88 = 52,657.78 : x
  2. Step 2: Convert to fraction form
    69,860.42/96,193.88 = 52,657.78/x
  3. Step 3: Cross multiply
    69,860.42x = 96,193.88 × 52,657.78
  4. Step 4: Simplify right side
    69,860.42x = 5,065,356,170.39
  5. Step 5: Solve for x
    x = 5,065,356,170.39/69,860.42
  6. Step 6: Final answer
    x = 72,506.81

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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.