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Finding the Fourth Proportional to 65,442.63, 98,311.57 and 39,165.83

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Solution

The fourth proportional to 65,442.63, 98,311.57 and 39,165.83 is: 58,837.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,442.63 : 98,311.57 = 39,165.83 : x
  2. Step 2: Convert to fraction form
    65,442.63/98,311.57 = 39,165.83/x
  3. Step 3: Cross multiply
    65,442.63x = 98,311.57 × 39,165.83
  4. Step 4: Simplify right side
    65,442.63x = 3,850,454,237.16
  5. Step 5: Solve for x
    x = 3,850,454,237.16/65,442.63
  6. Step 6: Final answer
    x = 58,837.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.