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Finding the Fourth Proportional to 55,832.60, 77,041.67 and 34,333.48

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Solution

The fourth proportional to 55,832.60, 77,041.67 and 34,333.48 is: 47,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,832.60 : 77,041.67 = 34,333.48 : x
  2. Step 2: Convert to fraction form
    55,832.60/77,041.67 = 34,333.48/x
  3. Step 3: Cross multiply
    55,832.60x = 77,041.67 × 34,333.48
  4. Step 4: Simplify right side
    55,832.60x = 2,645,108,560.75
  5. Step 5: Solve for x
    x = 2,645,108,560.75/55,832.60
  6. Step 6: Final answer
    x = 47,375.70

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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.