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Finding the Fourth Proportional to 52,203.42, 78,279.60 and 36,416

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Solution

The fourth proportional to 52,203.42, 78,279.60 and 36,416 is: 54,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,203.42 : 78,279.60 = 36,416 : x
  2. Step 2: Convert to fraction form
    52,203.42/78,279.60 = 36,416/x
  3. Step 3: Cross multiply
    52,203.42x = 78,279.60 × 36,416
  4. Step 4: Simplify right side
    52,203.42x = 2,850,629,913.60
  5. Step 5: Solve for x
    x = 2,850,629,913.60/52,203.42
  6. Step 6: Final answer
    x = 54,606.19

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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.