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Finding the Fourth Proportional to 73,766.94, 101,798.50 and 40,232.94

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Solution

The fourth proportional to 73,766.94, 101,798.50 and 40,232.94 is: 55,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,766.94 : 101,798.50 = 40,232.94 : x
  2. Step 2: Convert to fraction form
    73,766.94/101,798.50 = 40,232.94/x
  3. Step 3: Cross multiply
    73,766.94x = 101,798.50 × 40,232.94
  4. Step 4: Simplify right side
    73,766.94x = 4,095,652,942.59
  5. Step 5: Solve for x
    x = 4,095,652,942.59/73,766.94
  6. Step 6: Final answer
    x = 55,521.52

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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.