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Finding the Fourth Proportional to 66,164.34, 91,296.51 and 39,306.16

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Solution

The fourth proportional to 66,164.34, 91,296.51 and 39,306.16 is: 54,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,164.34 : 91,296.51 = 39,306.16 : x
  2. Step 2: Convert to fraction form
    66,164.34/91,296.51 = 39,306.16/x
  3. Step 3: Cross multiply
    66,164.34x = 91,296.51 × 39,306.16
  4. Step 4: Simplify right side
    66,164.34x = 3,588,515,229.50
  5. Step 5: Solve for x
    x = 3,588,515,229.50/66,164.34
  6. Step 6: Final answer
    x = 54,236.39

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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.