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Finding the Fourth Proportional to 51,694.61, 77,474.88 and 21,674.79

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Solution

The fourth proportional to 51,694.61, 77,474.88 and 21,674.79 is: 32,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,694.61 : 77,474.88 = 21,674.79 : x
  2. Step 2: Convert to fraction form
    51,694.61/77,474.88 = 21,674.79/x
  3. Step 3: Cross multiply
    51,694.61x = 77,474.88 × 21,674.79
  4. Step 4: Simplify right side
    51,694.61x = 1,679,251,754.28
  5. Step 5: Solve for x
    x = 1,679,251,754.28/51,694.61
  6. Step 6: Final answer
    x = 32,484.08

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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.