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Finding the Fourth Proportional to 47,695.78, 65,823.24 and 27,553.51

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Solution

The fourth proportional to 47,695.78, 65,823.24 and 27,553.51 is: 38,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,695.78 : 65,823.24 = 27,553.51 : x
  2. Step 2: Convert to fraction form
    47,695.78/65,823.24 = 27,553.51/x
  3. Step 3: Cross multiply
    47,695.78x = 65,823.24 × 27,553.51
  4. Step 4: Simplify right side
    47,695.78x = 1,813,661,301.57
  5. Step 5: Solve for x
    x = 1,813,661,301.57/47,695.78
  6. Step 6: Final answer
    x = 38,025.61

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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.