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Finding the Fourth Proportional to 32,879.52, 49,329 and 9,506.16

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Solution

The fourth proportional to 32,879.52, 49,329 and 9,506.16 is: 14,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,879.52 : 49,329 = 9,506.16 : x
  2. Step 2: Convert to fraction form
    32,879.52/49,329 = 9,506.16/x
  3. Step 3: Cross multiply
    32,879.52x = 49,329 × 9,506.16
  4. Step 4: Simplify right side
    32,879.52x = 468,929,366.64
  5. Step 5: Solve for x
    x = 468,929,366.64/32,879.52
  6. Step 6: Final answer
    x = 14,262.05

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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.