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Finding the Fourth Proportional to 38,189.16, 52,703.46 and 21,423.24

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Solution

The fourth proportional to 38,189.16, 52,703.46 and 21,423.24 is: 29,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,189.16 : 52,703.46 = 21,423.24 : x
  2. Step 2: Convert to fraction form
    38,189.16/52,703.46 = 21,423.24/x
  3. Step 3: Cross multiply
    38,189.16x = 52,703.46 × 21,423.24
  4. Step 4: Simplify right side
    38,189.16x = 1,129,078,872.41
  5. Step 5: Solve for x
    x = 1,129,078,872.41/38,189.16
  6. Step 6: Final answer
    x = 29,565.43

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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.