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Finding the Fourth Proportional to 34,249.74, 47,264.46 and 19,142.39

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Solution

The fourth proportional to 34,249.74, 47,264.46 and 19,142.39 is: 26,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,249.74 : 47,264.46 = 19,142.39 : x
  2. Step 2: Convert to fraction form
    34,249.74/47,264.46 = 19,142.39/x
  3. Step 3: Cross multiply
    34,249.74x = 47,264.46 × 19,142.39
  4. Step 4: Simplify right side
    34,249.74x = 904,754,726.46
  5. Step 5: Solve for x
    x = 904,754,726.46/34,249.74
  6. Step 6: Final answer
    x = 26,416.40

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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.