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Finding the Fourth Proportional to 36,671.52, 50,516 and 31,276.32

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Solution

The fourth proportional to 36,671.52, 50,516 and 31,276.32 is: 43,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,671.52 : 50,516 = 31,276.32 : x
  2. Step 2: Convert to fraction form
    36,671.52/50,516 = 31,276.32/x
  3. Step 3: Cross multiply
    36,671.52x = 50,516 × 31,276.32
  4. Step 4: Simplify right side
    36,671.52x = 1,579,954,581.12
  5. Step 5: Solve for x
    x = 1,579,954,581.12/36,671.52
  6. Step 6: Final answer
    x = 43,083.97

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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.