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Finding the Fourth Proportional to 117,870, 176,837.46 and 34,764

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Solution

The fourth proportional to 117,870, 176,837.46 and 34,764 is: 52,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,870 : 176,837.46 = 34,764 : x
  2. Step 2: Convert to fraction form
    117,870/176,837.46 = 34,764/x
  3. Step 3: Cross multiply
    117,870x = 176,837.46 × 34,764
  4. Step 4: Simplify right side
    117,870x = 6,147,577,459.44
  5. Step 5: Solve for x
    x = 6,147,577,459.44/117,870
  6. Step 6: Final answer
    x = 52,155.57

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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.