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Finding the Fourth Proportional to 43,226, 64,844.40 and 15,524

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Solution

The fourth proportional to 43,226, 64,844.40 and 15,524 is: 23,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,226 : 64,844.40 = 15,524 : x
  2. Step 2: Convert to fraction form
    43,226/64,844.40 = 15,524/x
  3. Step 3: Cross multiply
    43,226x = 64,844.40 × 15,524
  4. Step 4: Simplify right side
    43,226x = 1,006,644,465.60
  5. Step 5: Solve for x
    x = 1,006,644,465.60/43,226
  6. Step 6: Final answer
    x = 23,287.94

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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.