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Finding the Fourth Proportional to 38,377.51, 52,960.16 and 21,381.73

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Solution

The fourth proportional to 38,377.51, 52,960.16 and 21,381.73 is: 29,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,377.51 : 52,960.16 = 21,381.73 : x
  2. Step 2: Convert to fraction form
    38,377.51/52,960.16 = 21,381.73/x
  3. Step 3: Cross multiply
    38,377.51x = 52,960.16 × 21,381.73
  4. Step 4: Simplify right side
    38,377.51x = 1,132,379,762.93
  5. Step 5: Solve for x
    x = 1,132,379,762.93/38,377.51
  6. Step 6: Final answer
    x = 29,506.34

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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.