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Finding the Fourth Proportional to 32,314.64, 48,473.27 and 11,256.81

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Solution

The fourth proportional to 32,314.64, 48,473.27 and 11,256.81 is: 16,885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,314.64 : 48,473.27 = 11,256.81 : x
  2. Step 2: Convert to fraction form
    32,314.64/48,473.27 = 11,256.81/x
  3. Step 3: Cross multiply
    32,314.64x = 48,473.27 × 11,256.81
  4. Step 4: Simplify right side
    32,314.64x = 545,654,334.18
  5. Step 5: Solve for x
    x = 545,654,334.18/32,314.64
  6. Step 6: Final answer
    x = 16,885.67

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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.