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Finding the Fourth Proportional to 30,522.60, 45,769.59 and 11,811.47

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Solution

The fourth proportional to 30,522.60, 45,769.59 and 11,811.47 is: 17,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,522.60 : 45,769.59 = 11,811.47 : x
  2. Step 2: Convert to fraction form
    30,522.60/45,769.59 = 11,811.47/x
  3. Step 3: Cross multiply
    30,522.60x = 45,769.59 × 11,811.47
  4. Step 4: Simplify right side
    30,522.60x = 540,605,910.35
  5. Step 5: Solve for x
    x = 540,605,910.35/30,522.60
  6. Step 6: Final answer
    x = 17,711.66

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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.