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Finding the Fourth Proportional to 40,466, 60,709.24 and 11,282

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Solution

The fourth proportional to 40,466, 60,709.24 and 11,282 is: 16,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,466 : 60,709.24 = 11,282 : x
  2. Step 2: Convert to fraction form
    40,466/60,709.24 = 11,282/x
  3. Step 3: Cross multiply
    40,466x = 60,709.24 × 11,282
  4. Step 4: Simplify right side
    40,466x = 684,921,645.68
  5. Step 5: Solve for x
    x = 684,921,645.68/40,466
  6. Step 6: Final answer
    x = 16,925.85

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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.