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Finding the Fourth Proportional to 46,864, 64,687.68 and 33,654.40

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Solution

The fourth proportional to 46,864, 64,687.68 and 33,654.40 is: 46,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,864 : 64,687.68 = 33,654.40 : x
  2. Step 2: Convert to fraction form
    46,864/64,687.68 = 33,654.40/x
  3. Step 3: Cross multiply
    46,864x = 64,687.68 × 33,654.40
  4. Step 4: Simplify right side
    46,864x = 2,177,025,057.79
  5. Step 5: Solve for x
    x = 2,177,025,057.79/46,864
  6. Step 6: Final answer
    x = 46,454.10

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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.