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Finding the Fourth Proportional to 76,063.52, 114,113.44 and 22,760

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Solution

The fourth proportional to 76,063.52, 114,113.44 and 22,760 is: 34,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,063.52 : 114,113.44 = 22,760 : x
  2. Step 2: Convert to fraction form
    76,063.52/114,113.44 = 22,760/x
  3. Step 3: Cross multiply
    76,063.52x = 114,113.44 × 22,760
  4. Step 4: Simplify right side
    76,063.52x = 2,597,221,894.40
  5. Step 5: Solve for x
    x = 2,597,221,894.40/76,063.52
  6. Step 6: Final answer
    x = 34,145.43

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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.