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Finding the Fourth Proportional to 32,085.74, 48,116.28 and 11,021.84

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Solution

The fourth proportional to 32,085.74, 48,116.28 and 11,021.84 is: 16,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085.74 : 48,116.28 = 11,021.84 : x
  2. Step 2: Convert to fraction form
    32,085.74/48,116.28 = 11,021.84/x
  3. Step 3: Cross multiply
    32,085.74x = 48,116.28 × 11,021.84
  4. Step 4: Simplify right side
    32,085.74x = 530,329,939.56
  5. Step 5: Solve for x
    x = 530,329,939.56/32,085.74
  6. Step 6: Final answer
    x = 16,528.52

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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.