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Finding the Fourth Proportional to 32,705.69, 45,122.24 and 21,381.71

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Solution

The fourth proportional to 32,705.69, 45,122.24 and 21,381.71 is: 29,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.69 : 45,122.24 = 21,381.71 : x
  2. Step 2: Convert to fraction form
    32,705.69/45,122.24 = 21,381.71/x
  3. Step 3: Cross multiply
    32,705.69x = 45,122.24 × 21,381.71
  4. Step 4: Simplify right side
    32,705.69x = 964,790,478.07
  5. Step 5: Solve for x
    x = 964,790,478.07/32,705.69
  6. Step 6: Final answer
    x = 29,499.17

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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.