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Finding the Fourth Proportional to 27,029.65, 40,546.52 and 7,307.92

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Solution

The fourth proportional to 27,029.65, 40,546.52 and 7,307.92 is: 10,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029.65 : 40,546.52 = 7,307.92 : x
  2. Step 2: Convert to fraction form
    27,029.65/40,546.52 = 7,307.92/x
  3. Step 3: Cross multiply
    27,029.65x = 40,546.52 × 7,307.92
  4. Step 4: Simplify right side
    27,029.65x = 296,310,807.09
  5. Step 5: Solve for x
    x = 296,310,807.09/27,029.65
  6. Step 6: Final answer
    x = 10,962.44

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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.