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Finding the Fourth Proportional to 32,889.65, 49,326.37 and 9,511.43

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Solution

The fourth proportional to 32,889.65, 49,326.37 and 9,511.43 is: 14,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,889.65 : 49,326.37 = 9,511.43 : x
  2. Step 2: Convert to fraction form
    32,889.65/49,326.37 = 9,511.43/x
  3. Step 3: Cross multiply
    32,889.65x = 49,326.37 × 9,511.43
  4. Step 4: Simplify right side
    32,889.65x = 469,164,045.00
  5. Step 5: Solve for x
    x = 469,164,045.00/32,889.65
  6. Step 6: Final answer
    x = 14,264.80

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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.