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Finding the Fourth Proportional to 51,473.54, 77,203.00 and 19,898.48

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Solution

The fourth proportional to 51,473.54, 77,203.00 and 19,898.48 is: 29,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,473.54 : 77,203.00 = 19,898.48 : x
  2. Step 2: Convert to fraction form
    51,473.54/77,203.00 = 19,898.48/x
  3. Step 3: Cross multiply
    51,473.54x = 77,203.00 × 19,898.48
  4. Step 4: Simplify right side
    51,473.54x = 1,536,221,865.93
  5. Step 5: Solve for x
    x = 1,536,221,865.93/51,473.54
  6. Step 6: Final answer
    x = 29,844.88

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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.