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Finding the Fourth Proportional to 75,576.47, 113,364.70 and 22,986

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Solution

The fourth proportional to 75,576.47, 113,364.70 and 22,986 is: 34,479

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,576.47 : 113,364.70 = 22,986 : x
  2. Step 2: Convert to fraction form
    75,576.47/113,364.70 = 22,986/x
  3. Step 3: Cross multiply
    75,576.47x = 113,364.70 × 22,986
  4. Step 4: Simplify right side
    75,576.47x = 2,605,800,936.74
  5. Step 5: Solve for x
    x = 2,605,800,936.74/75,576.47
  6. Step 6: Final answer
    x = 34,479

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.