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Finding the Fourth Proportional to 34,814.94, 48,044.10 and 19,710.48

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Solution

The fourth proportional to 34,814.94, 48,044.10 and 19,710.48 is: 27,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,814.94 : 48,044.10 = 19,710.48 : x
  2. Step 2: Convert to fraction form
    34,814.94/48,044.10 = 19,710.48/x
  3. Step 3: Cross multiply
    34,814.94x = 48,044.10 × 19,710.48
  4. Step 4: Simplify right side
    34,814.94x = 946,972,272.17
  5. Step 5: Solve for x
    x = 946,972,272.17/34,814.94
  6. Step 6: Final answer
    x = 27,200.17

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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.