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Finding the Fourth Proportional to 109,650.30, 164,480.31 and 30,762.78

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Solution

The fourth proportional to 109,650.30, 164,480.31 and 30,762.78 is: 46,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,650.30 : 164,480.31 = 30,762.78 : x
  2. Step 2: Convert to fraction form
    109,650.30/164,480.31 = 30,762.78/x
  3. Step 3: Cross multiply
    109,650.30x = 164,480.31 × 30,762.78
  4. Step 4: Simplify right side
    109,650.30x = 5,059,871,590.86
  5. Step 5: Solve for x
    x = 5,059,871,590.86/109,650.30
  6. Step 6: Final answer
    x = 46,145.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.