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Finding the Fourth Proportional to 30,521.25, 45,782.69 and 9,744.75

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Solution

The fourth proportional to 30,521.25, 45,782.69 and 9,744.75 is: 14,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,521.25 : 45,782.69 = 9,744.75 : x
  2. Step 2: Convert to fraction form
    30,521.25/45,782.69 = 9,744.75/x
  3. Step 3: Cross multiply
    30,521.25x = 45,782.69 × 9,744.75
  4. Step 4: Simplify right side
    30,521.25x = 446,140,819.65
  5. Step 5: Solve for x
    x = 446,140,819.65/30,521.25
  6. Step 6: Final answer
    x = 14,617.38

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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.