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Finding the Fourth Proportional to 65,893.14, 90,891.65 and 48,647.89

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Solution

The fourth proportional to 65,893.14, 90,891.65 and 48,647.89 is: 67,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,893.14 : 90,891.65 = 48,647.89 : x
  2. Step 2: Convert to fraction form
    65,893.14/90,891.65 = 48,647.89/x
  3. Step 3: Cross multiply
    65,893.14x = 90,891.65 × 48,647.89
  4. Step 4: Simplify right side
    65,893.14x = 4,421,686,536.66
  5. Step 5: Solve for x
    x = 4,421,686,536.66/65,893.14
  6. Step 6: Final answer
    x = 67,103.90

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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.