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Finding the Fourth Proportional to 107,318, 160,985.88 and 33,446

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Solution

The fourth proportional to 107,318, 160,985.88 and 33,446 is: 50,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,318 : 160,985.88 = 33,446 : x
  2. Step 2: Convert to fraction form
    107,318/160,985.88 = 33,446/x
  3. Step 3: Cross multiply
    107,318x = 160,985.88 × 33,446
  4. Step 4: Simplify right side
    107,318x = 5,384,333,742.48
  5. Step 5: Solve for x
    x = 5,384,333,742.48/107,318
  6. Step 6: Final answer
    x = 50,171.77

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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.