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Finding the Fourth Proportional to 32,050.44, 48,074.27 and 9,866.07

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Solution

The fourth proportional to 32,050.44, 48,074.27 and 9,866.07 is: 14,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050.44 : 48,074.27 = 9,866.07 : x
  2. Step 2: Convert to fraction form
    32,050.44/48,074.27 = 9,866.07/x
  3. Step 3: Cross multiply
    32,050.44x = 48,074.27 × 9,866.07
  4. Step 4: Simplify right side
    32,050.44x = 474,304,063.69
  5. Step 5: Solve for x
    x = 474,304,063.69/32,050.44
  6. Step 6: Final answer
    x = 14,798.68

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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.