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Finding the Fourth Proportional to 78,316.24, 108,074.85 and 44,324.11

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Solution

The fourth proportional to 78,316.24, 108,074.85 and 44,324.11 is: 61,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316.24 : 108,074.85 = 44,324.11 : x
  2. Step 2: Convert to fraction form
    78,316.24/108,074.85 = 44,324.11/x
  3. Step 3: Cross multiply
    78,316.24x = 108,074.85 × 44,324.11
  4. Step 4: Simplify right side
    78,316.24x = 4,790,321,539.63
  5. Step 5: Solve for x
    x = 4,790,321,539.63/78,316.24
  6. Step 6: Final answer
    x = 61,166.39

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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.