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Finding the Fourth Proportional to 103,202.69, 154,818.36 and 36,627

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Solution

The fourth proportional to 103,202.69, 154,818.36 and 36,627 is: 54,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,202.69 : 154,818.36 = 36,627 : x
  2. Step 2: Convert to fraction form
    103,202.69/154,818.36 = 36,627/x
  3. Step 3: Cross multiply
    103,202.69x = 154,818.36 × 36,627
  4. Step 4: Simplify right side
    103,202.69x = 5,670,532,071.72
  5. Step 5: Solve for x
    x = 5,670,532,071.72/103,202.69
  6. Step 6: Final answer
    x = 54,945.59

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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.