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Finding the Fourth Proportional to 80,314.19, 110,838 and 44,503.41

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Solution

The fourth proportional to 80,314.19, 110,838 and 44,503.41 is: 61,417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,314.19 : 110,838 = 44,503.41 : x
  2. Step 2: Convert to fraction form
    80,314.19/110,838 = 44,503.41/x
  3. Step 3: Cross multiply
    80,314.19x = 110,838 × 44,503.41
  4. Step 4: Simplify right side
    80,314.19x = 4,932,668,957.58
  5. Step 5: Solve for x
    x = 4,932,668,957.58/80,314.19
  6. Step 6: Final answer
    x = 61,417.15

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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.