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Finding the Fourth Proportional to 32,196.40, 48,292.56 and 9,706.60

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Solution

The fourth proportional to 32,196.40, 48,292.56 and 9,706.60 is: 14,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196.40 : 48,292.56 = 9,706.60 : x
  2. Step 2: Convert to fraction form
    32,196.40/48,292.56 = 9,706.60/x
  3. Step 3: Cross multiply
    32,196.40x = 48,292.56 × 9,706.60
  4. Step 4: Simplify right side
    32,196.40x = 468,756,562.90
  5. Step 5: Solve for x
    x = 468,756,562.90/32,196.40
  6. Step 6: Final answer
    x = 14,559.28

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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.