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Finding the Fourth Proportional to 82,484.76, 113,828.96 and 44,759

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Solution

The fourth proportional to 82,484.76, 113,828.96 and 44,759 is: 61,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,484.76 : 113,828.96 = 44,759 : x
  2. Step 2: Convert to fraction form
    82,484.76/113,828.96 = 44,759/x
  3. Step 3: Cross multiply
    82,484.76x = 113,828.96 × 44,759
  4. Step 4: Simplify right side
    82,484.76x = 5,094,870,420.64
  5. Step 5: Solve for x
    x = 5,094,870,420.64/82,484.76
  6. Step 6: Final answer
    x = 61,767.42

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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.