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Finding the Fourth Proportional to 38,017.35, 52,463.01 and 21,021.14

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Solution

The fourth proportional to 38,017.35, 52,463.01 and 21,021.14 is: 29,008.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,017.35 : 52,463.01 = 21,021.14 : x
  2. Step 2: Convert to fraction form
    38,017.35/52,463.01 = 21,021.14/x
  3. Step 3: Cross multiply
    38,017.35x = 52,463.01 × 21,021.14
  4. Step 4: Simplify right side
    38,017.35x = 1,102,832,278.03
  5. Step 5: Solve for x
    x = 1,102,832,278.03/38,017.35
  6. Step 6: Final answer
    x = 29,008.66

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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.