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Finding the Fourth Proportional to 96,520.81, 144,799.42 and 36,567.22

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Solution

The fourth proportional to 96,520.81, 144,799.42 and 36,567.22 is: 54,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,520.81 : 144,799.42 = 36,567.22 : x
  2. Step 2: Convert to fraction form
    96,520.81/144,799.42 = 36,567.22/x
  3. Step 3: Cross multiply
    96,520.81x = 144,799.42 × 36,567.22
  4. Step 4: Simplify right side
    96,520.81x = 5,294,911,930.72
  5. Step 5: Solve for x
    x = 5,294,911,930.72/96,520.81
  6. Step 6: Final answer
    x = 54,857.73

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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.