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Finding the Fourth Proportional to 38,791.84, 53,532.80 and 22,024.84

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Solution

The fourth proportional to 38,791.84, 53,532.80 and 22,024.84 is: 30,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,791.84 : 53,532.80 = 22,024.84 : x
  2. Step 2: Convert to fraction form
    38,791.84/53,532.80 = 22,024.84/x
  3. Step 3: Cross multiply
    38,791.84x = 53,532.80 × 22,024.84
  4. Step 4: Simplify right side
    38,791.84x = 1,179,051,409.81
  5. Step 5: Solve for x
    x = 1,179,051,409.81/38,791.84
  6. Step 6: Final answer
    x = 30,394.32

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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.