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Finding the Fourth Proportional to 32,142.90, 48,206.93 and 12,154.53

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Solution

The fourth proportional to 32,142.90, 48,206.93 and 12,154.53 is: 18,228.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.90 : 48,206.93 = 12,154.53 : x
  2. Step 2: Convert to fraction form
    32,142.90/48,206.93 = 12,154.53/x
  3. Step 3: Cross multiply
    32,142.90x = 48,206.93 × 12,154.53
  4. Step 4: Simplify right side
    32,142.90x = 585,932,516.12
  5. Step 5: Solve for x
    x = 585,932,516.12/32,142.90
  6. Step 6: Final answer
    x = 18,228.99

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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.