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Finding the Fourth Proportional to 67,178.57, 100,790.64 and 29,733.49

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Solution

The fourth proportional to 67,178.57, 100,790.64 and 29,733.49 is: 44,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,178.57 : 100,790.64 = 29,733.49 : x
  2. Step 2: Convert to fraction form
    67,178.57/100,790.64 = 29,733.49/x
  3. Step 3: Cross multiply
    67,178.57x = 100,790.64 × 29,733.49
  4. Step 4: Simplify right side
    67,178.57x = 2,996,857,486.53
  5. Step 5: Solve for x
    x = 2,996,857,486.53/67,178.57
  6. Step 6: Final answer
    x = 44,610.32

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1.5x scale

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.