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Finding the Fourth Proportional to 34,785, 52,186.14 and 10,161

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Solution

The fourth proportional to 34,785, 52,186.14 and 10,161 is: 15,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,785 : 52,186.14 = 10,161 : x
  2. Step 2: Convert to fraction form
    34,785/52,186.14 = 10,161/x
  3. Step 3: Cross multiply
    34,785x = 52,186.14 × 10,161
  4. Step 4: Simplify right side
    34,785x = 530,263,368.54
  5. Step 5: Solve for x
    x = 530,263,368.54/34,785
  6. Step 6: Final answer
    x = 15,244.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.