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Finding the Fourth Proportional to 51,771.86, 71,444.81 and 29,415.86

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Solution

The fourth proportional to 51,771.86, 71,444.81 and 29,415.86 is: 40,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,771.86 : 71,444.81 = 29,415.86 : x
  2. Step 2: Convert to fraction form
    51,771.86/71,444.81 = 29,415.86/x
  3. Step 3: Cross multiply
    51,771.86x = 71,444.81 × 29,415.86
  4. Step 4: Simplify right side
    51,771.86x = 2,101,610,381.61
  5. Step 5: Solve for x
    x = 2,101,610,381.61/51,771.86
  6. Step 6: Final answer
    x = 40,593.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.