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Finding the Fourth Proportional to 37,588.62, 51,753.95 and 31,912.14

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Solution

The fourth proportional to 37,588.62, 51,753.95 and 31,912.14 is: 43,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,588.62 : 51,753.95 = 31,912.14 : x
  2. Step 2: Convert to fraction form
    37,588.62/51,753.95 = 31,912.14/x
  3. Step 3: Cross multiply
    37,588.62x = 51,753.95 × 31,912.14
  4. Step 4: Simplify right side
    37,588.62x = 1,651,579,631.65
  5. Step 5: Solve for x
    x = 1,651,579,631.65/37,588.62
  6. Step 6: Final answer
    x = 43,938.28

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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.