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Finding the Fourth Proportional to 37,045.88, 51,123.31 and 20,278.88

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Solution

The fourth proportional to 37,045.88, 51,123.31 and 20,278.88 is: 27,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,045.88 : 51,123.31 = 20,278.88 : x
  2. Step 2: Convert to fraction form
    37,045.88/51,123.31 = 20,278.88/x
  3. Step 3: Cross multiply
    37,045.88x = 51,123.31 × 20,278.88
  4. Step 4: Simplify right side
    37,045.88x = 1,036,723,162.38
  5. Step 5: Solve for x
    x = 1,036,723,162.38/37,045.88
  6. Step 6: Final answer
    x = 27,984.85

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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.