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Finding the Fourth Proportional to 58,595.64, 80,861.84 and 31,738.22

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Solution

The fourth proportional to 58,595.64, 80,861.84 and 31,738.22 is: 43,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,595.64 : 80,861.84 = 31,738.22 : x
  2. Step 2: Convert to fraction form
    58,595.64/80,861.84 = 31,738.22/x
  3. Step 3: Cross multiply
    58,595.64x = 80,861.84 × 31,738.22
  4. Step 4: Simplify right side
    58,595.64x = 2,566,410,304.52
  5. Step 5: Solve for x
    x = 2,566,410,304.52/58,595.64
  6. Step 6: Final answer
    x = 43,798.66

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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.