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Finding the Fourth Proportional to 102,564, 153,850.68 and 31,481.46

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Solution

The fourth proportional to 102,564, 153,850.68 and 31,481.46 is: 47,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564 : 153,850.68 = 31,481.46 : x
  2. Step 2: Convert to fraction form
    102,564/153,850.68 = 31,481.46/x
  3. Step 3: Cross multiply
    102,564x = 153,850.68 × 31,481.46
  4. Step 4: Simplify right side
    102,564x = 4,843,444,028.39
  5. Step 5: Solve for x
    x = 4,843,444,028.39/102,564
  6. Step 6: Final answer
    x = 47,223.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.