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Finding the Fourth Proportional to 97,309.08, 134,286.66 and 52,597.08

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Solution

The fourth proportional to 97,309.08, 134,286.66 and 52,597.08 is: 72,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,309.08 : 134,286.66 = 52,597.08 : x
  2. Step 2: Convert to fraction form
    97,309.08/134,286.66 = 52,597.08/x
  3. Step 3: Cross multiply
    97,309.08x = 134,286.66 × 52,597.08
  4. Step 4: Simplify right side
    97,309.08x = 7,063,086,198.95
  5. Step 5: Solve for x
    x = 7,063,086,198.95/97,309.08
  6. Step 6: Final answer
    x = 72,584.04

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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.