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Finding the Fourth Proportional to 77,468.63, 106,902.33 and 43,473.95

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Solution

The fourth proportional to 77,468.63, 106,902.33 and 43,473.95 is: 59,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,468.63 : 106,902.33 = 43,473.95 : x
  2. Step 2: Convert to fraction form
    77,468.63/106,902.33 = 43,473.95/x
  3. Step 3: Cross multiply
    77,468.63x = 106,902.33 × 43,473.95
  4. Step 4: Simplify right side
    77,468.63x = 4,647,466,014.79
  5. Step 5: Solve for x
    x = 4,647,466,014.79/77,468.63
  6. Step 6: Final answer
    x = 59,991.59

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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.