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Finding the Fourth Proportional to 38,033.46, 52,486.29 and 21,266.46

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Solution

The fourth proportional to 38,033.46, 52,486.29 and 21,266.46 is: 29,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,033.46 : 52,486.29 = 21,266.46 : x
  2. Step 2: Convert to fraction form
    38,033.46/52,486.29 = 21,266.46/x
  3. Step 3: Cross multiply
    38,033.46x = 52,486.29 × 21,266.46
  4. Step 4: Simplify right side
    38,033.46x = 1,116,197,586.83
  5. Step 5: Solve for x
    x = 1,116,197,586.83/38,033.46
  6. Step 6: Final answer
    x = 29,347.78

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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.