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Finding the Fourth Proportional to 37,617, 51,912.05 and 22,510.30

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Solution

The fourth proportional to 37,617, 51,912.05 and 22,510.30 is: 31,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,617 : 51,912.05 = 22,510.30 : x
  2. Step 2: Convert to fraction form
    37,617/51,912.05 = 22,510.30/x
  3. Step 3: Cross multiply
    37,617x = 51,912.05 × 22,510.30
  4. Step 4: Simplify right side
    37,617x = 1,168,555,819.12
  5. Step 5: Solve for x
    x = 1,168,555,819.12/37,617
  6. Step 6: Final answer
    x = 31,064.57

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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.