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Finding the Fourth Proportional to 32,567.40, 48,846.30 and 9,196.20

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Solution

The fourth proportional to 32,567.40, 48,846.30 and 9,196.20 is: 13,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,567.40 : 48,846.30 = 9,196.20 : x
  2. Step 2: Convert to fraction form
    32,567.40/48,846.30 = 9,196.20/x
  3. Step 3: Cross multiply
    32,567.40x = 48,846.30 × 9,196.20
  4. Step 4: Simplify right side
    32,567.40x = 449,200,344.06
  5. Step 5: Solve for x
    x = 449,200,344.06/32,567.40
  6. Step 6: Final answer
    x = 13,792.94

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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.