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Finding the Fourth Proportional to 78,769.21, 108,697.24 and 44,772.98

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Solution

The fourth proportional to 78,769.21, 108,697.24 and 44,772.98 is: 61,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,769.21 : 108,697.24 = 44,772.98 : x
  2. Step 2: Convert to fraction form
    78,769.21/108,697.24 = 44,772.98/x
  3. Step 3: Cross multiply
    78,769.21x = 108,697.24 × 44,772.98
  4. Step 4: Simplify right side
    78,769.21x = 4,866,699,170.77
  5. Step 5: Solve for x
    x = 4,866,699,170.77/78,769.21
  6. Step 6: Final answer
    x = 61,784.28

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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.