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Finding the Fourth Proportional to 75,237.76, 112,759.44 and 35,806.96

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Solution

The fourth proportional to 75,237.76, 112,759.44 and 35,806.96 is: 53,664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,237.76 : 112,759.44 = 35,806.96 : x
  2. Step 2: Convert to fraction form
    75,237.76/112,759.44 = 35,806.96/x
  3. Step 3: Cross multiply
    75,237.76x = 112,759.44 × 35,806.96
  4. Step 4: Simplify right side
    75,237.76x = 4,037,572,757.70
  5. Step 5: Solve for x
    x = 4,037,572,757.70/75,237.76
  6. Step 6: Final answer
    x = 53,664.18

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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.