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Finding the Fourth Proportional to 32,475.12, 48,683.44 and 11,684

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Solution

The fourth proportional to 32,475.12, 48,683.44 and 11,684 is: 17,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475.12 : 48,683.44 = 11,684 : x
  2. Step 2: Convert to fraction form
    32,475.12/48,683.44 = 11,684/x
  3. Step 3: Cross multiply
    32,475.12x = 48,683.44 × 11,684
  4. Step 4: Simplify right side
    32,475.12x = 568,817,312.96
  5. Step 5: Solve for x
    x = 568,817,312.96/32,475.12
  6. Step 6: Final answer
    x = 17,515.48

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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.