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Finding the Fourth Proportional to 34,614, 47,767.32 and 19,712.88

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Solution

The fourth proportional to 34,614, 47,767.32 and 19,712.88 is: 27,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614 : 47,767.32 = 19,712.88 : x
  2. Step 2: Convert to fraction form
    34,614/47,767.32 = 19,712.88/x
  3. Step 3: Cross multiply
    34,614x = 47,767.32 × 19,712.88
  4. Step 4: Simplify right side
    34,614x = 941,631,447.08
  5. Step 5: Solve for x
    x = 941,631,447.08/34,614
  6. Step 6: Final answer
    x = 27,203.77

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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.