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Finding the Fourth Proportional to 78,504.78, 108,334.21 and 44,516.37

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Solution

The fourth proportional to 78,504.78, 108,334.21 and 44,516.37 is: 61,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,504.78 : 108,334.21 = 44,516.37 : x
  2. Step 2: Convert to fraction form
    78,504.78/108,334.21 = 44,516.37/x
  3. Step 3: Cross multiply
    78,504.78x = 108,334.21 × 44,516.37
  4. Step 4: Simplify right side
    78,504.78x = 4,822,645,776.02
  5. Step 5: Solve for x
    x = 4,822,645,776.02/78,504.78
  6. Step 6: Final answer
    x = 61,431.24

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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.