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Finding the Fourth Proportional to 46,725.66, 64,489.77 and 27,864

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Solution

The fourth proportional to 46,725.66, 64,489.77 and 27,864 is: 38,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,725.66 : 64,489.77 = 27,864 : x
  2. Step 2: Convert to fraction form
    46,725.66/64,489.77 = 27,864/x
  3. Step 3: Cross multiply
    46,725.66x = 64,489.77 × 27,864
  4. Step 4: Simplify right side
    46,725.66x = 1,796,942,951.28
  5. Step 5: Solve for x
    x = 1,796,942,951.28/46,725.66
  6. Step 6: Final answer
    x = 38,457.30

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1.5x scale

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.