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Finding the Fourth Proportional to 32,195.40, 48,304.70 and 14,424.60

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Solution

The fourth proportional to 32,195.40, 48,304.70 and 14,424.60 is: 21,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,195.40 : 48,304.70 = 14,424.60 : x
  2. Step 2: Convert to fraction form
    32,195.40/48,304.70 = 14,424.60/x
  3. Step 3: Cross multiply
    32,195.40x = 48,304.70 × 14,424.60
  4. Step 4: Simplify right side
    32,195.40x = 696,775,975.62
  5. Step 5: Solve for x
    x = 696,775,975.62/32,195.40
  6. Step 6: Final answer
    x = 21,642.10

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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.