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Finding the Fourth Proportional to 38,692.16, 53,410.04 and 22,777.28

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Solution

The fourth proportional to 38,692.16, 53,410.04 and 22,777.28 is: 31,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,692.16 : 53,410.04 = 22,777.28 : x
  2. Step 2: Convert to fraction form
    38,692.16/53,410.04 = 22,777.28/x
  3. Step 3: Cross multiply
    38,692.16x = 53,410.04 × 22,777.28
  4. Step 4: Simplify right side
    38,692.16x = 1,216,535,435.89
  5. Step 5: Solve for x
    x = 1,216,535,435.89/38,692.16
  6. Step 6: Final answer
    x = 31,441.39

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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.