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Finding the Fourth Proportional to 110,544.55, 165,816.18 and 31,658.78

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Solution

The fourth proportional to 110,544.55, 165,816.18 and 31,658.78 is: 47,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,544.55 : 165,816.18 = 31,658.78 : x
  2. Step 2: Convert to fraction form
    110,544.55/165,816.18 = 31,658.78/x
  3. Step 3: Cross multiply
    110,544.55x = 165,816.18 × 31,658.78
  4. Step 4: Simplify right side
    110,544.55x = 5,249,538,377.60
  5. Step 5: Solve for x
    x = 5,249,538,377.60/110,544.55
  6. Step 6: Final answer
    x = 47,487.99

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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.