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Finding the Fourth Proportional to 77,302.64, 106,677.70 and 43,768.64

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Solution

The fourth proportional to 77,302.64, 106,677.70 and 43,768.64 is: 60,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,302.64 : 106,677.70 = 43,768.64 : x
  2. Step 2: Convert to fraction form
    77,302.64/106,677.70 = 43,768.64/x
  3. Step 3: Cross multiply
    77,302.64x = 106,677.70 × 43,768.64
  4. Step 4: Simplify right side
    77,302.64x = 4,669,137,847.33
  5. Step 5: Solve for x
    x = 4,669,137,847.33/77,302.64
  6. Step 6: Final answer
    x = 60,400.76

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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.