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Finding the Fourth Proportional to 40,093.84, 60,146.52 and 12,394

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Solution

The fourth proportional to 40,093.84, 60,146.52 and 12,394 is: 18,592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,093.84 : 60,146.52 = 12,394 : x
  2. Step 2: Convert to fraction form
    40,093.84/60,146.52 = 12,394/x
  3. Step 3: Cross multiply
    40,093.84x = 60,146.52 × 12,394
  4. Step 4: Simplify right side
    40,093.84x = 745,455,968.88
  5. Step 5: Solve for x
    x = 745,455,968.88/40,093.84
  6. Step 6: Final answer
    x = 18,592.78

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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.