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Finding the Fourth Proportional to 82,699.44, 114,124.44 and 44,974

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Solution

The fourth proportional to 82,699.44, 114,124.44 and 44,974 is: 62,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,699.44 : 114,124.44 = 44,974 : x
  2. Step 2: Convert to fraction form
    82,699.44/114,124.44 = 44,974/x
  3. Step 3: Cross multiply
    82,699.44x = 114,124.44 × 44,974
  4. Step 4: Simplify right side
    82,699.44x = 5,132,632,564.56
  5. Step 5: Solve for x
    x = 5,132,632,564.56/82,699.44
  6. Step 6: Final answer
    x = 62,063.69

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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.