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Finding the Fourth Proportional to 109,758.38, 164,629.33 and 39,637.67

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Solution

The fourth proportional to 109,758.38, 164,629.33 and 39,637.67 is: 59,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,758.38 : 164,629.33 = 39,637.67 : x
  2. Step 2: Convert to fraction form
    109,758.38/164,629.33 = 39,637.67/x
  3. Step 3: Cross multiply
    109,758.38x = 164,629.33 × 39,637.67
  4. Step 4: Simplify right side
    109,758.38x = 6,525,523,054.86
  5. Step 5: Solve for x
    x = 6,525,523,054.86/109,758.38
  6. Step 6: Final answer
    x = 59,453.53

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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.