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Finding the Fourth Proportional to 76,903.66, 106,122.99 and 43,367.50

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Solution

The fourth proportional to 76,903.66, 106,122.99 and 43,367.50 is: 59,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,903.66 : 106,122.99 = 43,367.50 : x
  2. Step 2: Convert to fraction form
    76,903.66/106,122.99 = 43,367.50/x
  3. Step 3: Cross multiply
    76,903.66x = 106,122.99 × 43,367.50
  4. Step 4: Simplify right side
    76,903.66x = 4,602,288,768.83
  5. Step 5: Solve for x
    x = 4,602,288,768.83/76,903.66
  6. Step 6: Final answer
    x = 59,844.86

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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.