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Finding the Fourth Proportional to 27,468.80, 37,904.46 and 15,533.18

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Solution

The fourth proportional to 27,468.80, 37,904.46 and 15,533.18 is: 21,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468.80 : 37,904.46 = 15,533.18 : x
  2. Step 2: Convert to fraction form
    27,468.80/37,904.46 = 15,533.18/x
  3. Step 3: Cross multiply
    27,468.80x = 37,904.46 × 15,533.18
  4. Step 4: Simplify right side
    27,468.80x = 588,776,799.98
  5. Step 5: Solve for x
    x = 588,776,799.98/27,468.80
  6. Step 6: Final answer
    x = 21,434.38

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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.