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Finding the Fourth Proportional to 38,076, 52,539.21 and 22,958.16

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Solution

The fourth proportional to 38,076, 52,539.21 and 22,958.16 is: 31,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076 : 52,539.21 = 22,958.16 : x
  2. Step 2: Convert to fraction form
    38,076/52,539.21 = 22,958.16/x
  3. Step 3: Cross multiply
    38,076x = 52,539.21 × 22,958.16
  4. Step 4: Simplify right side
    38,076x = 1,206,203,589.45
  5. Step 5: Solve for x
    x = 1,206,203,589.45/38,076
  6. Step 6: Final answer
    x = 31,678.84

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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.