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Finding the Fourth Proportional to 103,151.67, 154,729.67 and 33,030.78

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Solution

The fourth proportional to 103,151.67, 154,729.67 and 33,030.78 is: 49,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,151.67 : 154,729.67 = 33,030.78 : x
  2. Step 2: Convert to fraction form
    103,151.67/154,729.67 = 33,030.78/x
  3. Step 3: Cross multiply
    103,151.67x = 154,729.67 × 33,030.78
  4. Step 4: Simplify right side
    103,151.67x = 5,110,841,689.24
  5. Step 5: Solve for x
    x = 5,110,841,689.24/103,151.67
  6. Step 6: Final answer
    x = 49,546.86

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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.