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Finding the Fourth Proportional to 38,043.84, 52,491.60 and 22,932.48

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Solution

The fourth proportional to 38,043.84, 52,491.60 and 22,932.48 is: 31,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,043.84 : 52,491.60 = 22,932.48 : x
  2. Step 2: Convert to fraction form
    38,043.84/52,491.60 = 22,932.48/x
  3. Step 3: Cross multiply
    38,043.84x = 52,491.60 × 22,932.48
  4. Step 4: Simplify right side
    38,043.84x = 1,203,762,567.17
  5. Step 5: Solve for x
    x = 1,203,762,567.17/38,043.84
  6. Step 6: Final answer
    x = 31,641.46

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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.