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Finding the Fourth Proportional to 46,878, 64,691.64 and 34,951.56

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Solution

The fourth proportional to 46,878, 64,691.64 and 34,951.56 is: 48,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,878 : 64,691.64 = 34,951.56 : x
  2. Step 2: Convert to fraction form
    46,878/64,691.64 = 34,951.56/x
  3. Step 3: Cross multiply
    46,878x = 64,691.64 × 34,951.56
  4. Step 4: Simplify right side
    46,878x = 2,261,073,736.96
  5. Step 5: Solve for x
    x = 2,261,073,736.96/46,878
  6. Step 6: Final answer
    x = 48,233.15

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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.