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Finding the Fourth Proportional to 38,270.98, 52,814.84 and 21,274.57

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Solution

The fourth proportional to 38,270.98, 52,814.84 and 21,274.57 is: 29,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,270.98 : 52,814.84 = 21,274.57 : x
  2. Step 2: Convert to fraction form
    38,270.98/52,814.84 = 21,274.57/x
  3. Step 3: Cross multiply
    38,270.98x = 52,814.84 × 21,274.57
  4. Step 4: Simplify right side
    38,270.98x = 1,123,613,118.81
  5. Step 5: Solve for x
    x = 1,123,613,118.81/38,270.98
  6. Step 6: Final answer
    x = 29,359.40

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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.