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Finding the Fourth Proportional to 38,220.84, 52,742.28 and 21,223.74

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Solution

The fourth proportional to 38,220.84, 52,742.28 and 21,223.74 is: 29,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,220.84 : 52,742.28 = 21,223.74 : x
  2. Step 2: Convert to fraction form
    38,220.84/52,742.28 = 21,223.74/x
  3. Step 3: Cross multiply
    38,220.84x = 52,742.28 × 21,223.74
  4. Step 4: Simplify right side
    38,220.84x = 1,119,388,437.73
  5. Step 5: Solve for x
    x = 1,119,388,437.73/38,220.84
  6. Step 6: Final answer
    x = 29,287.38

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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.