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Finding the Fourth Proportional to 47,752.64, 71,530.52 and 27,971.22

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Solution

The fourth proportional to 47,752.64, 71,530.52 and 27,971.22 is: 41,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,752.64 : 71,530.52 = 27,971.22 : x
  2. Step 2: Convert to fraction form
    47,752.64/71,530.52 = 27,971.22/x
  3. Step 3: Cross multiply
    47,752.64x = 71,530.52 × 27,971.22
  4. Step 4: Simplify right side
    47,752.64x = 2,000,795,771.78
  5. Step 5: Solve for x
    x = 2,000,795,771.78/47,752.64
  6. Step 6: Final answer
    x = 41,899.17

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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.