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Finding the Fourth Proportional to 27,036, 40,553.82 and 7,316.58

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Solution

The fourth proportional to 27,036, 40,553.82 and 7,316.58 is: 10,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,036 : 40,553.82 = 7,316.58 : x
  2. Step 2: Convert to fraction form
    27,036/40,553.82 = 7,316.58/x
  3. Step 3: Cross multiply
    27,036x = 40,553.82 × 7,316.58
  4. Step 4: Simplify right side
    27,036x = 296,715,268.34
  5. Step 5: Solve for x
    x = 296,715,268.34/27,036
  6. Step 6: Final answer
    x = 10,974.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.