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Finding the Fourth Proportional to 29,527.32, 44,298.46 and 9,811.40

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Solution

The fourth proportional to 29,527.32, 44,298.46 and 9,811.40 is: 14,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,527.32 : 44,298.46 = 9,811.40 : x
  2. Step 2: Convert to fraction form
    29,527.32/44,298.46 = 9,811.40/x
  3. Step 3: Cross multiply
    29,527.32x = 44,298.46 × 9,811.40
  4. Step 4: Simplify right side
    29,527.32x = 434,629,910.44
  5. Step 5: Solve for x
    x = 434,629,910.44/29,527.32
  6. Step 6: Final answer
    x = 14,719.59

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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.