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Finding the Fourth Proportional to 109,953.78, 164,930.70 and 26,847.78

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Solution

The fourth proportional to 109,953.78, 164,930.70 and 26,847.78 is: 40,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,953.78 : 164,930.70 = 26,847.78 : x
  2. Step 2: Convert to fraction form
    109,953.78/164,930.70 = 26,847.78/x
  3. Step 3: Cross multiply
    109,953.78x = 164,930.70 × 26,847.78
  4. Step 4: Simplify right side
    109,953.78x = 4,428,023,148.85
  5. Step 5: Solve for x
    x = 4,428,023,148.85/109,953.78
  6. Step 6: Final answer
    x = 40,271.68

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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.