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Finding the Fourth Proportional to 76,134.61, 114,218.70 and 22,824.46

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Solution

The fourth proportional to 76,134.61, 114,218.70 and 22,824.46 is: 34,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,134.61 : 114,218.70 = 22,824.46 : x
  2. Step 2: Convert to fraction form
    76,134.61/114,218.70 = 22,824.46/x
  3. Step 3: Cross multiply
    76,134.61x = 114,218.70 × 22,824.46
  4. Step 4: Simplify right side
    76,134.61x = 2,606,980,149.40
  5. Step 5: Solve for x
    x = 2,606,980,149.40/76,134.61
  6. Step 6: Final answer
    x = 34,241.72

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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.