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Finding the Fourth Proportional to 33,102.64, 49,572.96 and 21,380.32

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Solution

The fourth proportional to 33,102.64, 49,572.96 and 21,380.32 is: 32,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.64 : 49,572.96 = 21,380.32 : x
  2. Step 2: Convert to fraction form
    33,102.64/49,572.96 = 21,380.32/x
  3. Step 3: Cross multiply
    33,102.64x = 49,572.96 × 21,380.32
  4. Step 4: Simplify right side
    33,102.64x = 1,059,885,748.15
  5. Step 5: Solve for x
    x = 1,059,885,748.15/33,102.64
  6. Step 6: Final answer
    x = 32,018.16

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