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Finding the Fourth Proportional to 35,697.60, 49,234.08 and 22,243.20

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Solution

The fourth proportional to 35,697.60, 49,234.08 and 22,243.20 is: 30,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697.60 : 49,234.08 = 22,243.20 : x
  2. Step 2: Convert to fraction form
    35,697.60/49,234.08 = 22,243.20/x
  3. Step 3: Cross multiply
    35,697.60x = 49,234.08 × 22,243.20
  4. Step 4: Simplify right side
    35,697.60x = 1,095,123,488.26
  5. Step 5: Solve for x
    x = 1,095,123,488.26/35,697.60
  6. Step 6: Final answer
    x = 30,677.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.