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Finding the Fourth Proportional to 75,596.58, 113,362.08 and 22,993.92

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Solution

The fourth proportional to 75,596.58, 113,362.08 and 22,993.92 is: 34,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,596.58 : 113,362.08 = 22,993.92 : x
  2. Step 2: Convert to fraction form
    75,596.58/113,362.08 = 22,993.92/x
  3. Step 3: Cross multiply
    75,596.58x = 113,362.08 × 22,993.92
  4. Step 4: Simplify right side
    75,596.58x = 2,606,638,598.55
  5. Step 5: Solve for x
    x = 2,606,638,598.55/75,596.58
  6. Step 6: Final answer
    x = 34,480.91

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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.