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Finding the Fourth Proportional to 32,822.50, 45,276.81 and 21,510.24

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Solution

The fourth proportional to 32,822.50, 45,276.81 and 21,510.24 is: 29,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,822.50 : 45,276.81 = 21,510.24 : x
  2. Step 2: Convert to fraction form
    32,822.50/45,276.81 = 21,510.24/x
  3. Step 3: Cross multiply
    32,822.50x = 45,276.81 × 21,510.24
  4. Step 4: Simplify right side
    32,822.50x = 973,915,049.53
  5. Step 5: Solve for x
    x = 973,915,049.53/32,822.50
  6. Step 6: Final answer
    x = 29,672.18

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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.