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Finding the Fourth Proportional to 76,893.88, 115,330.69 and 22,857.42

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Solution

The fourth proportional to 76,893.88, 115,330.69 and 22,857.42 is: 34,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,893.88 : 115,330.69 = 22,857.42 : x
  2. Step 2: Convert to fraction form
    76,893.88/115,330.69 = 22,857.42/x
  3. Step 3: Cross multiply
    76,893.88x = 115,330.69 × 22,857.42
  4. Step 4: Simplify right side
    76,893.88x = 2,636,162,020.22
  5. Step 5: Solve for x
    x = 2,636,162,020.22/76,893.88
  6. Step 6: Final answer
    x = 34,283.12

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1.5x scale

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.