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Finding the Fourth Proportional to 38,174.70, 52,681.09 and 21,407.70

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Solution

The fourth proportional to 38,174.70, 52,681.09 and 21,407.70 is: 29,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,174.70 : 52,681.09 = 21,407.70 : x
  2. Step 2: Convert to fraction form
    38,174.70/52,681.09 = 21,407.70/x
  3. Step 3: Cross multiply
    38,174.70x = 52,681.09 × 21,407.70
  4. Step 4: Simplify right side
    38,174.70x = 1,127,780,706.99
  5. Step 5: Solve for x
    x = 1,127,780,706.99/38,174.70
  6. Step 6: Final answer
    x = 29,542.63

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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.