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Finding the Fourth Proportional to 56,503.20, 84,657.60 and 36,771.60

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Solution

The fourth proportional to 56,503.20, 84,657.60 and 36,771.60 is: 55,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,503.20 : 84,657.60 = 36,771.60 : x
  2. Step 2: Convert to fraction form
    56,503.20/84,657.60 = 36,771.60/x
  3. Step 3: Cross multiply
    56,503.20x = 84,657.60 × 36,771.60
  4. Step 4: Simplify right side
    56,503.20x = 3,112,995,404.16
  5. Step 5: Solve for x
    x = 3,112,995,404.16/56,503.20
  6. Step 6: Final answer
    x = 55,094.14

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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.