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Finding the Fourth Proportional to 32,120.69, 48,163.41 and 9,927.90

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Solution

The fourth proportional to 32,120.69, 48,163.41 and 9,927.90 is: 14,886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,120.69 : 48,163.41 = 9,927.90 : x
  2. Step 2: Convert to fraction form
    32,120.69/48,163.41 = 9,927.90/x
  3. Step 3: Cross multiply
    32,120.69x = 48,163.41 × 9,927.90
  4. Step 4: Simplify right side
    32,120.69x = 478,161,518.14
  5. Step 5: Solve for x
    x = 478,161,518.14/32,120.69
  6. Step 6: Final answer
    x = 14,886.40

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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.