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Finding the Fourth Proportional to 38,216.84, 52,738.25 and 21,220.65

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Solution

The fourth proportional to 38,216.84, 52,738.25 and 21,220.65 is: 29,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,216.84 : 52,738.25 = 21,220.65 : x
  2. Step 2: Convert to fraction form
    38,216.84/52,738.25 = 21,220.65/x
  3. Step 3: Cross multiply
    38,216.84x = 52,738.25 × 21,220.65
  4. Step 4: Simplify right side
    38,216.84x = 1,119,139,838.76
  5. Step 5: Solve for x
    x = 1,119,139,838.76/38,216.84
  6. Step 6: Final answer
    x = 29,283.95

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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.