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Finding the Fourth Proportional to 27,029.66, 40,538.85 and 7,303.59

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Solution

The fourth proportional to 27,029.66, 40,538.85 and 7,303.59 is: 10,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029.66 : 40,538.85 = 7,303.59 : x
  2. Step 2: Convert to fraction form
    27,029.66/40,538.85 = 7,303.59/x
  3. Step 3: Cross multiply
    27,029.66x = 40,538.85 × 7,303.59
  4. Step 4: Simplify right side
    27,029.66x = 296,079,112.08
  5. Step 5: Solve for x
    x = 296,079,112.08/27,029.66
  6. Step 6: Final answer
    x = 10,953.86

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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.