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Finding the Fourth Proportional to 37,302.70, 51,462.84 and 22,189.85

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Solution

The fourth proportional to 37,302.70, 51,462.84 and 22,189.85 is: 30,613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,302.70 : 51,462.84 = 22,189.85 : x
  2. Step 2: Convert to fraction form
    37,302.70/51,462.84 = 22,189.85/x
  3. Step 3: Cross multiply
    37,302.70x = 51,462.84 × 22,189.85
  4. Step 4: Simplify right side
    37,302.70x = 1,141,952,719.06
  5. Step 5: Solve for x
    x = 1,141,952,719.06/37,302.70
  6. Step 6: Final answer
    x = 30,613.14

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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.