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Finding the Fourth Proportional to 75,507.84, 113,262.06 and 22,917.78

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Solution

The fourth proportional to 75,507.84, 113,262.06 and 22,917.78 is: 34,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,507.84 : 113,262.06 = 22,917.78 : x
  2. Step 2: Convert to fraction form
    75,507.84/113,262.06 = 22,917.78/x
  3. Step 3: Cross multiply
    75,507.84x = 113,262.06 × 22,917.78
  4. Step 4: Simplify right side
    75,507.84x = 2,595,714,973.43
  5. Step 5: Solve for x
    x = 2,595,714,973.43/75,507.84
  6. Step 6: Final answer
    x = 34,376.76

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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.