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Finding the Fourth Proportional to 51,965.24, 77,954.74 and 16,893

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Solution

The fourth proportional to 51,965.24, 77,954.74 and 16,893 is: 25,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,965.24 : 77,954.74 = 16,893 : x
  2. Step 2: Convert to fraction form
    51,965.24/77,954.74 = 16,893/x
  3. Step 3: Cross multiply
    51,965.24x = 77,954.74 × 16,893
  4. Step 4: Simplify right side
    51,965.24x = 1,316,889,422.82
  5. Step 5: Solve for x
    x = 1,316,889,422.82/51,965.24
  6. Step 6: Final answer
    x = 25,341.74

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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.