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Finding the Fourth Proportional to 72,835.81, 109,253.81 and 41,649.19

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Solution

The fourth proportional to 72,835.81, 109,253.81 and 41,649.19 is: 62,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,835.81 : 109,253.81 = 41,649.19 : x
  2. Step 2: Convert to fraction form
    72,835.81/109,253.81 = 41,649.19/x
  3. Step 3: Cross multiply
    72,835.81x = 109,253.81 × 41,649.19
  4. Step 4: Simplify right side
    72,835.81x = 4,550,332,521.90
  5. Step 5: Solve for x
    x = 4,550,332,521.90/72,835.81
  6. Step 6: Final answer
    x = 62,473.84

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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.