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Finding the Fourth Proportional to 32,063.08, 48,097.04 and 9,571.98

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Solution

The fourth proportional to 32,063.08, 48,097.04 and 9,571.98 is: 14,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,063.08 : 48,097.04 = 9,571.98 : x
  2. Step 2: Convert to fraction form
    32,063.08/48,097.04 = 9,571.98/x
  3. Step 3: Cross multiply
    32,063.08x = 48,097.04 × 9,571.98
  4. Step 4: Simplify right side
    32,063.08x = 460,383,904.94
  5. Step 5: Solve for x
    x = 460,383,904.94/32,063.08
  6. Step 6: Final answer
    x = 14,358.69

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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.