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Finding the Fourth Proportional to 96,855.72, 133,654.77 and 56,580.90

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Solution

The fourth proportional to 96,855.72, 133,654.77 and 56,580.90 is: 78,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,855.72 : 133,654.77 = 56,580.90 : x
  2. Step 2: Convert to fraction form
    96,855.72/133,654.77 = 56,580.90/x
  3. Step 3: Cross multiply
    96,855.72x = 133,654.77 × 56,580.90
  4. Step 4: Simplify right side
    96,855.72x = 7,562,307,175.89
  5. Step 5: Solve for x
    x = 7,562,307,175.89/96,855.72
  6. Step 6: Final answer
    x = 78,078.06

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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.