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Finding the Fourth Proportional to 34,728.80, 47,925.97 and 18,813.24

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Solution

The fourth proportional to 34,728.80, 47,925.97 and 18,813.24 is: 25,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,728.80 : 47,925.97 = 18,813.24 : x
  2. Step 2: Convert to fraction form
    34,728.80/47,925.97 = 18,813.24/x
  3. Step 3: Cross multiply
    34,728.80x = 47,925.97 × 18,813.24
  4. Step 4: Simplify right side
    34,728.80x = 901,642,442.15
  5. Step 5: Solve for x
    x = 901,642,442.15/34,728.80
  6. Step 6: Final answer
    x = 25,962.39

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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.