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Finding the Fourth Proportional to 32,074.84, 48,116.22 and 11,019.16

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Solution

The fourth proportional to 32,074.84, 48,116.22 and 11,019.16 is: 16,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,074.84 : 48,116.22 = 11,019.16 : x
  2. Step 2: Convert to fraction form
    32,074.84/48,116.22 = 11,019.16/x
  3. Step 3: Cross multiply
    32,074.84x = 48,116.22 × 11,019.16
  4. Step 4: Simplify right side
    32,074.84x = 530,200,326.78
  5. Step 5: Solve for x
    x = 530,200,326.78/32,074.84
  6. Step 6: Final answer
    x = 16,530.10

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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.