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Finding the Fourth Proportional to 32,320.96, 48,481.62 and 9,831.94

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Solution

The fourth proportional to 32,320.96, 48,481.62 and 9,831.94 is: 14,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,320.96 : 48,481.62 = 9,831.94 : x
  2. Step 2: Convert to fraction form
    32,320.96/48,481.62 = 9,831.94/x
  3. Step 3: Cross multiply
    32,320.96x = 48,481.62 × 9,831.94
  4. Step 4: Simplify right side
    32,320.96x = 476,668,378.94
  5. Step 5: Solve for x
    x = 476,668,378.94/32,320.96
  6. Step 6: Final answer
    x = 14,747.96

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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.