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Finding the Fourth Proportional to 35,130.16, 48,474.84 and 20,980

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Solution

The fourth proportional to 35,130.16, 48,474.84 and 20,980 is: 28,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,130.16 : 48,474.84 = 20,980 : x
  2. Step 2: Convert to fraction form
    35,130.16/48,474.84 = 20,980/x
  3. Step 3: Cross multiply
    35,130.16x = 48,474.84 × 20,980
  4. Step 4: Simplify right side
    35,130.16x = 1,017,002,143.20
  5. Step 5: Solve for x
    x = 1,017,002,143.20/35,130.16
  6. Step 6: Final answer
    x = 28,949.54

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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.