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Finding the Fourth Proportional to 81,902.50, 113,006.74 and 46,079.44

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Solution

The fourth proportional to 81,902.50, 113,006.74 and 46,079.44 is: 63,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,902.50 : 113,006.74 = 46,079.44 : x
  2. Step 2: Convert to fraction form
    81,902.50/113,006.74 = 46,079.44/x
  3. Step 3: Cross multiply
    81,902.50x = 113,006.74 × 46,079.44
  4. Step 4: Simplify right side
    81,902.50x = 5,207,286,730.39
  5. Step 5: Solve for x
    x = 5,207,286,730.39/81,902.50
  6. Step 6: Final answer
    x = 63,579.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.