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Finding the Fourth Proportional to 56,498.76, 84,704.34 and 32,769.84

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Solution

The fourth proportional to 56,498.76, 84,704.34 and 32,769.84 is: 49,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,498.76 : 84,704.34 = 32,769.84 : x
  2. Step 2: Convert to fraction form
    56,498.76/84,704.34 = 32,769.84/x
  3. Step 3: Cross multiply
    56,498.76x = 84,704.34 × 32,769.84
  4. Step 4: Simplify right side
    56,498.76x = 2,775,747,669.11
  5. Step 5: Solve for x
    x = 2,775,747,669.11/56,498.76
  6. Step 6: Final answer
    x = 49,129.36

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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.