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Finding the Fourth Proportional to 38,522.84, 53,161.56 and 21,527.80

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Solution

The fourth proportional to 38,522.84, 53,161.56 and 21,527.80 is: 29,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,522.84 : 53,161.56 = 21,527.80 : x
  2. Step 2: Convert to fraction form
    38,522.84/53,161.56 = 21,527.80/x
  3. Step 3: Cross multiply
    38,522.84x = 53,161.56 × 21,527.80
  4. Step 4: Simplify right side
    38,522.84x = 1,144,451,298.46
  5. Step 5: Solve for x
    x = 1,144,451,298.46/38,522.84
  6. Step 6: Final answer
    x = 29,708.39

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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.