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Finding the Fourth Proportional to 51,429.90, 77,129.73 and 21,847.50

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Solution

The fourth proportional to 51,429.90, 77,129.73 and 21,847.50 is: 32,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,429.90 : 77,129.73 = 21,847.50 : x
  2. Step 2: Convert to fraction form
    51,429.90/77,129.73 = 21,847.50/x
  3. Step 3: Cross multiply
    51,429.90x = 77,129.73 × 21,847.50
  4. Step 4: Simplify right side
    51,429.90x = 1,685,091,776.18
  5. Step 5: Solve for x
    x = 1,685,091,776.18/51,429.90
  6. Step 6: Final answer
    x = 32,764.83

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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.