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Finding the Fourth Proportional to 78,855.76, 108,821.22 and 43,046.56

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Solution

The fourth proportional to 78,855.76, 108,821.22 and 43,046.56 is: 59,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,855.76 : 108,821.22 = 43,046.56 : x
  2. Step 2: Convert to fraction form
    78,855.76/108,821.22 = 43,046.56/x
  3. Step 3: Cross multiply
    78,855.76x = 108,821.22 × 43,046.56
  4. Step 4: Simplify right side
    78,855.76x = 4,684,379,176.00
  5. Step 5: Solve for x
    x = 4,684,379,176.00/78,855.76
  6. Step 6: Final answer
    x = 59,404.40

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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.