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Finding the Fourth Proportional to 34,850.16, 48,094.20 and 20,511

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Solution

The fourth proportional to 34,850.16, 48,094.20 and 20,511 is: 28,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,850.16 : 48,094.20 = 20,511 : x
  2. Step 2: Convert to fraction form
    34,850.16/48,094.20 = 20,511/x
  3. Step 3: Cross multiply
    34,850.16x = 48,094.20 × 20,511
  4. Step 4: Simplify right side
    34,850.16x = 986,460,136.20
  5. Step 5: Solve for x
    x = 986,460,136.20/34,850.16
  6. Step 6: Final answer
    x = 28,305.76

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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.