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Finding the Fourth Proportional to 38,787.84, 53,527.28 and 22,020.84

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Solution

The fourth proportional to 38,787.84, 53,527.28 and 22,020.84 is: 30,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,787.84 : 53,527.28 = 22,020.84 : x
  2. Step 2: Convert to fraction form
    38,787.84/53,527.28 = 22,020.84/x
  3. Step 3: Cross multiply
    38,787.84x = 53,527.28 × 22,020.84
  4. Step 4: Simplify right side
    38,787.84x = 1,178,715,558.41
  5. Step 5: Solve for x
    x = 1,178,715,558.41/38,787.84
  6. Step 6: Final answer
    x = 30,388.79

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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.