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Finding the Fourth Proportional to 61,834.16, 85,266.60 and 36,678.80

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Solution

The fourth proportional to 61,834.16, 85,266.60 and 36,678.80 is: 50,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,834.16 : 85,266.60 = 36,678.80 : x
  2. Step 2: Convert to fraction form
    61,834.16/85,266.60 = 36,678.80/x
  3. Step 3: Cross multiply
    61,834.16x = 85,266.60 × 36,678.80
  4. Step 4: Simplify right side
    61,834.16x = 3,127,476,568.08
  5. Step 5: Solve for x
    x = 3,127,476,568.08/61,834.16
  6. Step 6: Final answer
    x = 50,578.46

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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.