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Finding the Fourth Proportional to 47,777.86, 71,583.50 and 29,018.26

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Solution

The fourth proportional to 47,777.86, 71,583.50 and 29,018.26 is: 43,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,777.86 : 71,583.50 = 29,018.26 : x
  2. Step 2: Convert to fraction form
    47,777.86/71,583.50 = 29,018.26/x
  3. Step 3: Cross multiply
    47,777.86x = 71,583.50 × 29,018.26
  4. Step 4: Simplify right side
    47,777.86x = 2,077,228,614.71
  5. Step 5: Solve for x
    x = 2,077,228,614.71/47,777.86
  6. Step 6: Final answer
    x = 43,476.80

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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.