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Finding the Fourth Proportional to 78,297.34, 108,048.83 and 44,305.21

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Solution

The fourth proportional to 78,297.34, 108,048.83 and 44,305.21 is: 61,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,297.34 : 108,048.83 = 44,305.21 : x
  2. Step 2: Convert to fraction form
    78,297.34/108,048.83 = 44,305.21/x
  3. Step 3: Cross multiply
    78,297.34x = 108,048.83 × 44,305.21
  4. Step 4: Simplify right side
    78,297.34x = 4,787,125,563.16
  5. Step 5: Solve for x
    x = 4,787,125,563.16/78,297.34
  6. Step 6: Final answer
    x = 61,140.33

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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.