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Finding the Fourth Proportional to 38,823.50, 53,574.31 and 21,828.39

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Solution

The fourth proportional to 38,823.50, 53,574.31 and 21,828.39 is: 30,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,823.50 : 53,574.31 = 21,828.39 : x
  2. Step 2: Convert to fraction form
    38,823.50/53,574.31 = 21,828.39/x
  3. Step 3: Cross multiply
    38,823.50x = 53,574.31 × 21,828.39
  4. Step 4: Simplify right side
    38,823.50x = 1,169,440,759.04
  5. Step 5: Solve for x
    x = 1,169,440,759.04/38,823.50
  6. Step 6: Final answer
    x = 30,121.98

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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.