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Finding the Fourth Proportional to 32,084.34, 48,130.47 and 11,028.66

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Solution

The fourth proportional to 32,084.34, 48,130.47 and 11,028.66 is: 16,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.34 : 48,130.47 = 11,028.66 : x
  2. Step 2: Convert to fraction form
    32,084.34/48,130.47 = 11,028.66/x
  3. Step 3: Cross multiply
    32,084.34x = 48,130.47 × 11,028.66
  4. Step 4: Simplify right side
    32,084.34x = 530,814,589.27
  5. Step 5: Solve for x
    x = 530,814,589.27/32,084.34
  6. Step 6: Final answer
    x = 16,544.35

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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.