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Finding the Fourth Proportional to 27,180.47, 40,768.88 and 7,457.38

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Solution

The fourth proportional to 27,180.47, 40,768.88 and 7,457.38 is: 11,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180.47 : 40,768.88 = 7,457.38 : x
  2. Step 2: Convert to fraction form
    27,180.47/40,768.88 = 7,457.38/x
  3. Step 3: Cross multiply
    27,180.47x = 40,768.88 × 7,457.38
  4. Step 4: Simplify right side
    27,180.47x = 304,029,030.33
  5. Step 5: Solve for x
    x = 304,029,030.33/27,180.47
  6. Step 6: Final answer
    x = 11,185.57

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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.