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Finding the Fourth Proportional to 102,093.76, 153,083.04 and 31,954.24

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Solution

The fourth proportional to 102,093.76, 153,083.04 and 31,954.24 is: 47,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,093.76 : 153,083.04 = 31,954.24 : x
  2. Step 2: Convert to fraction form
    102,093.76/153,083.04 = 31,954.24/x
  3. Step 3: Cross multiply
    102,093.76x = 153,083.04 × 31,954.24
  4. Step 4: Simplify right side
    102,093.76x = 4,891,652,200.09
  5. Step 5: Solve for x
    x = 4,891,652,200.09/102,093.76
  6. Step 6: Final answer
    x = 47,913.33

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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.