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Finding the Fourth Proportional to 52,899.24, 72,993.24 and 31,674

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Solution

The fourth proportional to 52,899.24, 72,993.24 and 31,674 is: 43,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,899.24 : 72,993.24 = 31,674 : x
  2. Step 2: Convert to fraction form
    52,899.24/72,993.24 = 31,674/x
  3. Step 3: Cross multiply
    52,899.24x = 72,993.24 × 31,674
  4. Step 4: Simplify right side
    52,899.24x = 2,311,987,883.76
  5. Step 5: Solve for x
    x = 2,311,987,883.76/52,899.24
  6. Step 6: Final answer
    x = 43,705.50

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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.