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Finding the Fourth Proportional to 34,920, 48,189.60 and 20,024.64

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Solution

The fourth proportional to 34,920, 48,189.60 and 20,024.64 is: 27,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,920 : 48,189.60 = 20,024.64 : x
  2. Step 2: Convert to fraction form
    34,920/48,189.60 = 20,024.64/x
  3. Step 3: Cross multiply
    34,920x = 48,189.60 × 20,024.64
  4. Step 4: Simplify right side
    34,920x = 964,979,391.74
  5. Step 5: Solve for x
    x = 964,979,391.74/34,920
  6. Step 6: Final answer
    x = 27,634.00

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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.