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Finding the Fourth Proportional to 38,424.20, 53,025.78 and 21,657.20

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Solution

The fourth proportional to 38,424.20, 53,025.78 and 21,657.20 is: 29,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424.20 : 53,025.78 = 21,657.20 : x
  2. Step 2: Convert to fraction form
    38,424.20/53,025.78 = 21,657.20/x
  3. Step 3: Cross multiply
    38,424.20x = 53,025.78 × 21,657.20
  4. Step 4: Simplify right side
    38,424.20x = 1,148,389,657.49
  5. Step 5: Solve for x
    x = 1,148,389,657.49/38,424.20
  6. Step 6: Final answer
    x = 29,887.15

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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.