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Finding the Fourth Proportional to 47,003.96, 64,856.21 and 27,880.13

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Solution

The fourth proportional to 47,003.96, 64,856.21 and 27,880.13 is: 38,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,003.96 : 64,856.21 = 27,880.13 : x
  2. Step 2: Convert to fraction form
    47,003.96/64,856.21 = 27,880.13/x
  3. Step 3: Cross multiply
    47,003.96x = 64,856.21 × 27,880.13
  4. Step 4: Simplify right side
    47,003.96x = 1,808,199,102.43
  5. Step 5: Solve for x
    x = 1,808,199,102.43/47,003.96
  6. Step 6: Final answer
    x = 38,469.08

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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.