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Finding the Fourth Proportional to 37,045.48, 51,123.96 and 20,278.48

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Solution

The fourth proportional to 37,045.48, 51,123.96 and 20,278.48 is: 27,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,045.48 : 51,123.96 = 20,278.48 : x
  2. Step 2: Convert to fraction form
    37,045.48/51,123.96 = 20,278.48/x
  3. Step 3: Cross multiply
    37,045.48x = 51,123.96 × 20,278.48
  4. Step 4: Simplify right side
    37,045.48x = 1,036,716,200.38
  5. Step 5: Solve for x
    x = 1,036,716,200.38/37,045.48
  6. Step 6: Final answer
    x = 27,984.96

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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.