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Finding the Fourth Proportional to 75,588.50, 113,383.84 and 26,340.50

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Solution

The fourth proportional to 75,588.50, 113,383.84 and 26,340.50 is: 39,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,588.50 : 113,383.84 = 26,340.50 : x
  2. Step 2: Convert to fraction form
    75,588.50/113,383.84 = 26,340.50/x
  3. Step 3: Cross multiply
    75,588.50x = 113,383.84 × 26,340.50
  4. Step 4: Simplify right side
    75,588.50x = 2,986,587,037.52
  5. Step 5: Solve for x
    x = 2,986,587,037.52/75,588.50
  6. Step 6: Final answer
    x = 39,511.13

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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.