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Finding the Fourth Proportional to 57,884.60, 79,893.16 and 37,705.48

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Solution

The fourth proportional to 57,884.60, 79,893.16 and 37,705.48 is: 52,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,884.60 : 79,893.16 = 37,705.48 : x
  2. Step 2: Convert to fraction form
    57,884.60/79,893.16 = 37,705.48/x
  3. Step 3: Cross multiply
    57,884.60x = 79,893.16 × 37,705.48
  4. Step 4: Simplify right side
    57,884.60x = 3,012,409,652.52
  5. Step 5: Solve for x
    x = 3,012,409,652.52/57,884.60
  6. Step 6: Final answer
    x = 52,041.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.