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Finding the Fourth Proportional to 35,493.38, 48,978.64 and 19,577.79

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Solution

The fourth proportional to 35,493.38, 48,978.64 and 19,577.79 is: 27,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,493.38 : 48,978.64 = 19,577.79 : x
  2. Step 2: Convert to fraction form
    35,493.38/48,978.64 = 19,577.79/x
  3. Step 3: Cross multiply
    35,493.38x = 48,978.64 × 19,577.79
  4. Step 4: Simplify right side
    35,493.38x = 958,893,528.41
  5. Step 5: Solve for x
    x = 958,893,528.41/35,493.38
  6. Step 6: Final answer
    x = 27,016.12

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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.