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Finding the Fourth Proportional to 76,302, 114,452.98 and 23,711.52

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Solution

The fourth proportional to 76,302, 114,452.98 and 23,711.52 is: 35,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,302 : 114,452.98 = 23,711.52 : x
  2. Step 2: Convert to fraction form
    76,302/114,452.98 = 23,711.52/x
  3. Step 3: Cross multiply
    76,302x = 114,452.98 × 23,711.52
  4. Step 4: Simplify right side
    76,302x = 2,713,854,124.33
  5. Step 5: Solve for x
    x = 2,713,854,124.33/76,302
  6. Step 6: Final answer
    x = 35,567.27

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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.