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Finding the Fourth Proportional to 56,446.60, 84,656.40 and 32,702.80

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Solution

The fourth proportional to 56,446.60, 84,656.40 and 32,702.80 is: 49,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,446.60 : 84,656.40 = 32,702.80 : x
  2. Step 2: Convert to fraction form
    56,446.60/84,656.40 = 32,702.80/x
  3. Step 3: Cross multiply
    56,446.60x = 84,656.40 × 32,702.80
  4. Step 4: Simplify right side
    56,446.60x = 2,768,501,317.92
  5. Step 5: Solve for x
    x = 2,768,501,317.92/56,446.60
  6. Step 6: Final answer
    x = 49,046.38

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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.