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Finding the Fourth Proportional to 47,881.70, 71,755.34 and 37,842.32

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Solution

The fourth proportional to 47,881.70, 71,755.34 and 37,842.32 is: 56,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,881.70 : 71,755.34 = 37,842.32 : x
  2. Step 2: Convert to fraction form
    47,881.70/71,755.34 = 37,842.32/x
  3. Step 3: Cross multiply
    47,881.70x = 71,755.34 × 37,842.32
  4. Step 4: Simplify right side
    47,881.70x = 2,715,388,537.99
  5. Step 5: Solve for x
    x = 2,715,388,537.99/47,881.70
  6. Step 6: Final answer
    x = 56,710.36

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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.