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Finding the Fourth Proportional to 27,056, 37,338.08 and 15,119.84

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Solution

The fourth proportional to 27,056, 37,338.08 and 15,119.84 is: 20,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,056 : 37,338.08 = 15,119.84 : x
  2. Step 2: Convert to fraction form
    27,056/37,338.08 = 15,119.84/x
  3. Step 3: Cross multiply
    27,056x = 37,338.08 × 15,119.84
  4. Step 4: Simplify right side
    27,056x = 564,545,795.51
  5. Step 5: Solve for x
    x = 564,545,795.51/27,056
  6. Step 6: Final answer
    x = 20,865.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.