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Finding the Fourth Proportional to 38,820.35, 53,571.76 and 21,824.67

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Solution

The fourth proportional to 38,820.35, 53,571.76 and 21,824.67 is: 30,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,820.35 : 53,571.76 = 21,824.67 : x
  2. Step 2: Convert to fraction form
    38,820.35/53,571.76 = 21,824.67/x
  3. Step 3: Cross multiply
    38,820.35x = 53,571.76 × 21,824.67
  4. Step 4: Simplify right side
    38,820.35x = 1,169,185,660.90
  5. Step 5: Solve for x
    x = 1,169,185,660.90/38,820.35
  6. Step 6: Final answer
    x = 30,117.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.