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Finding the Fourth Proportional to 34,643.84, 51,916.48 and 26,816

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Solution

The fourth proportional to 34,643.84, 51,916.48 and 26,816 is: 40,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,643.84 : 51,916.48 = 26,816 : x
  2. Step 2: Convert to fraction form
    34,643.84/51,916.48 = 26,816/x
  3. Step 3: Cross multiply
    34,643.84x = 51,916.48 × 26,816
  4. Step 4: Simplify right side
    34,643.84x = 1,392,192,327.68
  5. Step 5: Solve for x
    x = 1,392,192,327.68/34,643.84
  6. Step 6: Final answer
    x = 40,185.85

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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.