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Finding the Fourth Proportional to 34,878, 48,130.08 and 19,770.44

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Solution

The fourth proportional to 34,878, 48,130.08 and 19,770.44 is: 27,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,878 : 48,130.08 = 19,770.44 : x
  2. Step 2: Convert to fraction form
    34,878/48,130.08 = 19,770.44/x
  3. Step 3: Cross multiply
    34,878x = 48,130.08 × 19,770.44
  4. Step 4: Simplify right side
    34,878x = 951,552,858.84
  5. Step 5: Solve for x
    x = 951,552,858.84/34,878
  6. Step 6: Final answer
    x = 27,282.32

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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.