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Finding the Fourth Proportional to 38,692, 53,400 and 22,777.92

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Solution

The fourth proportional to 38,692, 53,400 and 22,777.92 is: 31,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,692 : 53,400 = 22,777.92 : x
  2. Step 2: Convert to fraction form
    38,692/53,400 = 22,777.92/x
  3. Step 3: Cross multiply
    38,692x = 53,400 × 22,777.92
  4. Step 4: Simplify right side
    38,692x = 1,216,340,928
  5. Step 5: Solve for x
    x = 1,216,340,928/38,692
  6. Step 6: Final answer
    x = 31,436.50

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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.