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Finding the Fourth Proportional to 77,103.94, 106,463.74 and 59,170.54

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Solution

The fourth proportional to 77,103.94, 106,463.74 and 59,170.54 is: 81,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,103.94 : 106,463.74 = 59,170.54 : x
  2. Step 2: Convert to fraction form
    77,103.94/106,463.74 = 59,170.54/x
  3. Step 3: Cross multiply
    77,103.94x = 106,463.74 × 59,170.54
  4. Step 4: Simplify right side
    77,103.94x = 6,299,516,986.22
  5. Step 5: Solve for x
    x = 6,299,516,986.22/77,103.94
  6. Step 6: Final answer
    x = 81,701.62

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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.