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Finding the Fourth Proportional to 34,023.32, 51,012.82 and 11,835

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Solution

The fourth proportional to 34,023.32, 51,012.82 and 11,835 is: 17,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,023.32 : 51,012.82 = 11,835 : x
  2. Step 2: Convert to fraction form
    34,023.32/51,012.82 = 11,835/x
  3. Step 3: Cross multiply
    34,023.32x = 51,012.82 × 11,835
  4. Step 4: Simplify right side
    34,023.32x = 603,736,724.70
  5. Step 5: Solve for x
    x = 603,736,724.70/34,023.32
  6. Step 6: Final answer
    x = 17,744.79

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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.