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Finding the Fourth Proportional to 32,883.54, 49,305.60 and 15,983.27

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Solution

The fourth proportional to 32,883.54, 49,305.60 and 15,983.27 is: 23,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.54 : 49,305.60 = 15,983.27 : x
  2. Step 2: Convert to fraction form
    32,883.54/49,305.60 = 15,983.27/x
  3. Step 3: Cross multiply
    32,883.54x = 49,305.60 × 15,983.27
  4. Step 4: Simplify right side
    32,883.54x = 788,064,470.78
  5. Step 5: Solve for x
    x = 788,064,470.78/32,883.54
  6. Step 6: Final answer
    x = 23,965.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.