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Finding the Fourth Proportional to 34,552.64, 47,620.16 and 25,996.66

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Solution

The fourth proportional to 34,552.64, 47,620.16 and 25,996.66 is: 35,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,552.64 : 47,620.16 = 25,996.66 : x
  2. Step 2: Convert to fraction form
    34,552.64/47,620.16 = 25,996.66/x
  3. Step 3: Cross multiply
    34,552.64x = 47,620.16 × 25,996.66
  4. Step 4: Simplify right side
    34,552.64x = 1,237,965,108.67
  5. Step 5: Solve for x
    x = 1,237,965,108.67/34,552.64
  6. Step 6: Final answer
    x = 35,828.38

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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.