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Finding the Fourth Proportional to 97,296.78, 134,269.50 and 52,584.78

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Solution

The fourth proportional to 97,296.78, 134,269.50 and 52,584.78 is: 72,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,296.78 : 134,269.50 = 52,584.78 : x
  2. Step 2: Convert to fraction form
    97,296.78/134,269.50 = 52,584.78/x
  3. Step 3: Cross multiply
    97,296.78x = 134,269.50 × 52,584.78
  4. Step 4: Simplify right side
    97,296.78x = 7,060,532,118.21
  5. Step 5: Solve for x
    x = 7,060,532,118.21/97,296.78
  6. Step 6: Final answer
    x = 72,566.97

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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.