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Finding the Fourth Proportional to 89,115.90, 133,599.84 and 46,972.44

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Solution

The fourth proportional to 89,115.90, 133,599.84 and 46,972.44 is: 70,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,115.90 : 133,599.84 = 46,972.44 : x
  2. Step 2: Convert to fraction form
    89,115.90/133,599.84 = 46,972.44/x
  3. Step 3: Cross multiply
    89,115.90x = 133,599.84 × 46,972.44
  4. Step 4: Simplify right side
    89,115.90x = 6,275,510,468.41
  5. Step 5: Solve for x
    x = 6,275,510,468.41/89,115.90
  6. Step 6: Final answer
    x = 70,419.65

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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.