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Finding the Fourth Proportional to 32,680.69, 49,029.23 and 9,307.13

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Solution

The fourth proportional to 32,680.69, 49,029.23 and 9,307.13 is: 13,963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,680.69 : 49,029.23 = 9,307.13 : x
  2. Step 2: Convert to fraction form
    32,680.69/49,029.23 = 9,307.13/x
  3. Step 3: Cross multiply
    32,680.69x = 49,029.23 × 9,307.13
  4. Step 4: Simplify right side
    32,680.69x = 456,321,195.53
  5. Step 5: Solve for x
    x = 456,321,195.53/32,680.69
  6. Step 6: Final answer
    x = 13,963.02

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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.