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Finding the Fourth Proportional to 47,372.64, 70,991.16 and 34,794

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Solution

The fourth proportional to 47,372.64, 70,991.16 and 34,794 is: 52,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,372.64 : 70,991.16 = 34,794 : x
  2. Step 2: Convert to fraction form
    47,372.64/70,991.16 = 34,794/x
  3. Step 3: Cross multiply
    47,372.64x = 70,991.16 × 34,794
  4. Step 4: Simplify right side
    47,372.64x = 2,470,066,421.04
  5. Step 5: Solve for x
    x = 2,470,066,421.04/47,372.64
  6. Step 6: Final answer
    x = 52,141.20

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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.