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Finding the Fourth Proportional to 32,210.25, 48,329.14 and 16,638.81

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Solution

The fourth proportional to 32,210.25, 48,329.14 and 16,638.81 is: 24,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,210.25 : 48,329.14 = 16,638.81 : x
  2. Step 2: Convert to fraction form
    32,210.25/48,329.14 = 16,638.81/x
  3. Step 3: Cross multiply
    32,210.25x = 48,329.14 × 16,638.81
  4. Step 4: Simplify right side
    32,210.25x = 804,139,136.28
  5. Step 5: Solve for x
    x = 804,139,136.28/32,210.25
  6. Step 6: Final answer
    x = 24,965.32

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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.