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Finding the Fourth Proportional to 38,724.32, 58,086.54 and 13,764.32

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Solution

The fourth proportional to 38,724.32, 58,086.54 and 13,764.32 is: 20,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,724.32 : 58,086.54 = 13,764.32 : x
  2. Step 2: Convert to fraction form
    38,724.32/58,086.54 = 13,764.32/x
  3. Step 3: Cross multiply
    38,724.32x = 58,086.54 × 13,764.32
  4. Step 4: Simplify right side
    38,724.32x = 799,521,433.82
  5. Step 5: Solve for x
    x = 799,521,433.82/38,724.32
  6. Step 6: Final answer
    x = 20,646.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.