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Finding the Fourth Proportional to 109,403.48, 164,106.50 and 30,512.88

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Solution

The fourth proportional to 109,403.48, 164,106.50 and 30,512.88 is: 45,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,403.48 : 164,106.50 = 30,512.88 : x
  2. Step 2: Convert to fraction form
    109,403.48/164,106.50 = 30,512.88/x
  3. Step 3: Cross multiply
    109,403.48x = 164,106.50 × 30,512.88
  4. Step 4: Simplify right side
    109,403.48x = 5,007,361,941.72
  5. Step 5: Solve for x
    x = 5,007,361,941.72/109,403.48
  6. Step 6: Final answer
    x = 45,769.68

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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.