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Finding the Fourth Proportional to 104,517.81, 156,802.76 and 30,645.81

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Solution

The fourth proportional to 104,517.81, 156,802.76 and 30,645.81 is: 45,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,517.81 : 156,802.76 = 30,645.81 : x
  2. Step 2: Convert to fraction form
    104,517.81/156,802.76 = 30,645.81/x
  3. Step 3: Cross multiply
    104,517.81x = 156,802.76 × 30,645.81
  4. Step 4: Simplify right side
    104,517.81x = 4,805,347,590.44
  5. Step 5: Solve for x
    x = 4,805,347,590.44/104,517.81
  6. Step 6: Final answer
    x = 45,976.35

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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.