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Finding the Fourth Proportional to 34,808.16, 48,047.73 and 20,661

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Solution

The fourth proportional to 34,808.16, 48,047.73 and 20,661 is: 28,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,808.16 : 48,047.73 = 20,661 : x
  2. Step 2: Convert to fraction form
    34,808.16/48,047.73 = 20,661/x
  3. Step 3: Cross multiply
    34,808.16x = 48,047.73 × 20,661
  4. Step 4: Simplify right side
    34,808.16x = 992,714,149.53
  5. Step 5: Solve for x
    x = 992,714,149.53/34,808.16
  6. Step 6: Final answer
    x = 28,519.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.