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Finding the Fourth Proportional to 37,222, 51,367.44 and 20,456.08

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Solution

The fourth proportional to 37,222, 51,367.44 and 20,456.08 is: 28,229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,222 : 51,367.44 = 20,456.08 : x
  2. Step 2: Convert to fraction form
    37,222/51,367.44 = 20,456.08/x
  3. Step 3: Cross multiply
    37,222x = 51,367.44 × 20,456.08
  4. Step 4: Simplify right side
    37,222x = 1,050,776,462.04
  5. Step 5: Solve for x
    x = 1,050,776,462.04/37,222
  6. Step 6: Final answer
    x = 28,229.98

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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.