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Finding the Fourth Proportional to 91,382.50, 126,122.43 and 53,649.46

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Solution

The fourth proportional to 91,382.50, 126,122.43 and 53,649.46 is: 74,044.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,382.50 : 126,122.43 = 53,649.46 : x
  2. Step 2: Convert to fraction form
    91,382.50/126,122.43 = 53,649.46/x
  3. Step 3: Cross multiply
    91,382.50x = 126,122.43 × 53,649.46
  4. Step 4: Simplify right side
    91,382.50x = 6,766,400,263.39
  5. Step 5: Solve for x
    x = 6,766,400,263.39/91,382.50
  6. Step 6: Final answer
    x = 74,044.81

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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.