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Finding the Fourth Proportional to 38,165.74, 52,664.34 and 22,032.98

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Solution

The fourth proportional to 38,165.74, 52,664.34 and 22,032.98 is: 30,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,165.74 : 52,664.34 = 22,032.98 : x
  2. Step 2: Convert to fraction form
    38,165.74/52,664.34 = 22,032.98/x
  3. Step 3: Cross multiply
    38,165.74x = 52,664.34 × 22,032.98
  4. Step 4: Simplify right side
    38,165.74x = 1,160,352,481.59
  5. Step 5: Solve for x
    x = 1,160,352,481.59/38,165.74
  6. Step 6: Final answer
    x = 30,402.99

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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.