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Finding the Fourth Proportional to 67,342.94, 100,992.54 and 31,798.76

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Solution

The fourth proportional to 67,342.94, 100,992.54 and 31,798.76 is: 47,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,342.94 : 100,992.54 = 31,798.76 : x
  2. Step 2: Convert to fraction form
    67,342.94/100,992.54 = 31,798.76/x
  3. Step 3: Cross multiply
    67,342.94x = 100,992.54 × 31,798.76
  4. Step 4: Simplify right side
    67,342.94x = 3,211,437,541.25
  5. Step 5: Solve for x
    x = 3,211,437,541.25/67,342.94
  6. Step 6: Final answer
    x = 47,687.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.