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Finding the Fourth Proportional to 92,046.10, 137,847.72 and 52,483.27

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Solution

The fourth proportional to 92,046.10, 137,847.72 and 52,483.27 is: 78,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,046.10 : 137,847.72 = 52,483.27 : x
  2. Step 2: Convert to fraction form
    92,046.10/137,847.72 = 52,483.27/x
  3. Step 3: Cross multiply
    92,046.10x = 137,847.72 × 52,483.27
  4. Step 4: Simplify right side
    92,046.10x = 7,234,699,107.64
  5. Step 5: Solve for x
    x = 7,234,699,107.64/92,046.10
  6. Step 6: Final answer
    x = 78,598.65

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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.