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Finding the Fourth Proportional to 84,477.83, 126,502.44 and 50,723

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Solution

The fourth proportional to 84,477.83, 126,502.44 and 50,723 is: 75,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,477.83 : 126,502.44 = 50,723 : x
  2. Step 2: Convert to fraction form
    84,477.83/126,502.44 = 50,723/x
  3. Step 3: Cross multiply
    84,477.83x = 126,502.44 × 50,723
  4. Step 4: Simplify right side
    84,477.83x = 6,416,583,264.12
  5. Step 5: Solve for x
    x = 6,416,583,264.12/84,477.83
  6. Step 6: Final answer
    x = 75,955.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.