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Finding the Fourth Proportional to 47,305.64, 70,958.75 and 14,026.02

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Solution

The fourth proportional to 47,305.64, 70,958.75 and 14,026.02 is: 21,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,305.64 : 70,958.75 = 14,026.02 : x
  2. Step 2: Convert to fraction form
    47,305.64/70,958.75 = 14,026.02/x
  3. Step 3: Cross multiply
    47,305.64x = 70,958.75 × 14,026.02
  4. Step 4: Simplify right side
    47,305.64x = 995,268,846.68
  5. Step 5: Solve for x
    x = 995,268,846.68/47,305.64
  6. Step 6: Final answer
    x = 21,039.12

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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.