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Finding the Fourth Proportional to 38,297.18, 52,849.64 and 21,530.18

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Solution

The fourth proportional to 38,297.18, 52,849.64 and 21,530.18 is: 29,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,297.18 : 52,849.64 = 21,530.18 : x
  2. Step 2: Convert to fraction form
    38,297.18/52,849.64 = 21,530.18/x
  3. Step 3: Cross multiply
    38,297.18x = 52,849.64 × 21,530.18
  4. Step 4: Simplify right side
    38,297.18x = 1,137,861,890.24
  5. Step 5: Solve for x
    x = 1,137,861,890.24/38,297.18
  6. Step 6: Final answer
    x = 29,711.38

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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.