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Finding the Fourth Proportional to 82,149.84, 113,366.68 and 44,424

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Solution

The fourth proportional to 82,149.84, 113,366.68 and 44,424 is: 61,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,149.84 : 113,366.68 = 44,424 : x
  2. Step 2: Convert to fraction form
    82,149.84/113,366.68 = 44,424/x
  3. Step 3: Cross multiply
    82,149.84x = 113,366.68 × 44,424
  4. Step 4: Simplify right side
    82,149.84x = 5,036,201,392.32
  5. Step 5: Solve for x
    x = 5,036,201,392.32/82,149.84
  6. Step 6: Final answer
    x = 61,305.07

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