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Finding the Fourth Proportional to 49,464, 74,205.30 and 19,884.18

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Solution

The fourth proportional to 49,464, 74,205.30 and 19,884.18 is: 29,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,464 : 74,205.30 = 19,884.18 : x
  2. Step 2: Convert to fraction form
    49,464/74,205.30 = 19,884.18/x
  3. Step 3: Cross multiply
    49,464x = 74,205.30 × 19,884.18
  4. Step 4: Simplify right side
    49,464x = 1,475,511,542.15
  5. Step 5: Solve for x
    x = 1,475,511,542.15/49,464
  6. Step 6: Final answer
    x = 29,830.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.