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Finding the Fourth Proportional to 34,142.66, 47,116.70 and 19,805.39

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Solution

The fourth proportional to 34,142.66, 47,116.70 and 19,805.39 is: 27,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142.66 : 47,116.70 = 19,805.39 : x
  2. Step 2: Convert to fraction form
    34,142.66/47,116.70 = 19,805.39/x
  3. Step 3: Cross multiply
    34,142.66x = 47,116.70 × 19,805.39
  4. Step 4: Simplify right side
    34,142.66x = 933,164,619.01
  5. Step 5: Solve for x
    x = 933,164,619.01/34,142.66
  6. Step 6: Final answer
    x = 27,331.34

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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.