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Finding the Fourth Proportional to 107,894, 161,841 and 34,022

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Solution

The fourth proportional to 107,894, 161,841 and 34,022 is: 51,033

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,894 : 161,841 = 34,022 : x
  2. Step 2: Convert to fraction form
    107,894/161,841 = 34,022/x
  3. Step 3: Cross multiply
    107,894x = 161,841 × 34,022
  4. Step 4: Simplify right side
    107,894x = 5,506,154,502
  5. Step 5: Solve for x
    x = 5,506,154,502/107,894
  6. Step 6: Final answer
    x = 51,033

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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.