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Finding the Fourth Proportional to 45,208.84, 67,826.22 and 17,509

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Solution

The fourth proportional to 45,208.84, 67,826.22 and 17,509 is: 26,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,208.84 : 67,826.22 = 17,509 : x
  2. Step 2: Convert to fraction form
    45,208.84/67,826.22 = 17,509/x
  3. Step 3: Cross multiply
    45,208.84x = 67,826.22 × 17,509
  4. Step 4: Simplify right side
    45,208.84x = 1,187,569,285.98
  5. Step 5: Solve for x
    x = 1,187,569,285.98/45,208.84
  6. Step 6: Final answer
    x = 26,268.52

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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.