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Finding the Fourth Proportional to 34,502, 47,612.76 and 19,600.88

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Solution

The fourth proportional to 34,502, 47,612.76 and 19,600.88 is: 27,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,502 : 47,612.76 = 19,600.88 : x
  2. Step 2: Convert to fraction form
    34,502/47,612.76 = 19,600.88/x
  3. Step 3: Cross multiply
    34,502x = 47,612.76 × 19,600.88
  4. Step 4: Simplify right side
    34,502x = 933,251,995.23
  5. Step 5: Solve for x
    x = 933,251,995.23/34,502
  6. Step 6: Final answer
    x = 27,049.21

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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.