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Finding the Fourth Proportional to 61,694.34, 92,543.31 and 19,574.61

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Solution

The fourth proportional to 61,694.34, 92,543.31 and 19,574.61 is: 29,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,694.34 : 92,543.31 = 19,574.61 : x
  2. Step 2: Convert to fraction form
    61,694.34/92,543.31 = 19,574.61/x
  3. Step 3: Cross multiply
    61,694.34x = 92,543.31 × 19,574.61
  4. Step 4: Simplify right side
    61,694.34x = 1,811,499,201.36
  5. Step 5: Solve for x
    x = 1,811,499,201.36/61,694.34
  6. Step 6: Final answer
    x = 29,362.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.