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Finding the Fourth Proportional to 47,752.89, 71,530.89 and 27,971.47

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Solution

The fourth proportional to 47,752.89, 71,530.89 and 27,971.47 is: 41,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,752.89 : 71,530.89 = 27,971.47 : x
  2. Step 2: Convert to fraction form
    47,752.89/71,530.89 = 27,971.47/x
  3. Step 3: Cross multiply
    47,752.89x = 71,530.89 × 27,971.47
  4. Step 4: Simplify right side
    47,752.89x = 2,000,824,143.71
  5. Step 5: Solve for x
    x = 2,000,824,143.71/47,752.89
  6. Step 6: Final answer
    x = 41,899.54

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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.