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Finding the Fourth Proportional to 34,152, 47,097.36 and 22,224.48

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Solution

The fourth proportional to 34,152, 47,097.36 and 22,224.48 is: 30,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,152 : 47,097.36 = 22,224.48 : x
  2. Step 2: Convert to fraction form
    34,152/47,097.36 = 22,224.48/x
  3. Step 3: Cross multiply
    34,152x = 47,097.36 × 22,224.48
  4. Step 4: Simplify right side
    34,152x = 1,046,714,335.37
  5. Step 5: Solve for x
    x = 1,046,714,335.37/34,152
  6. Step 6: Final answer
    x = 30,648.70

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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.