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Finding the Fourth Proportional to 32,097.66, 44,300.90 and 21,505.76

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Solution

The fourth proportional to 32,097.66, 44,300.90 and 21,505.76 is: 29,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.66 : 44,300.90 = 21,505.76 : x
  2. Step 2: Convert to fraction form
    32,097.66/44,300.90 = 21,505.76/x
  3. Step 3: Cross multiply
    32,097.66x = 44,300.90 × 21,505.76
  4. Step 4: Simplify right side
    32,097.66x = 952,724,523.18
  5. Step 5: Solve for x
    x = 952,724,523.18/32,097.66
  6. Step 6: Final answer
    x = 29,682.06

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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.