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Finding the Fourth Proportional to 32,130.68, 48,214.24 and 12,410.62

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Solution

The fourth proportional to 32,130.68, 48,214.24 and 12,410.62 is: 18,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,130.68 : 48,214.24 = 12,410.62 : x
  2. Step 2: Convert to fraction form
    32,130.68/48,214.24 = 12,410.62/x
  3. Step 3: Cross multiply
    32,130.68x = 48,214.24 × 12,410.62
  4. Step 4: Simplify right side
    32,130.68x = 598,368,459.67
  5. Step 5: Solve for x
    x = 598,368,459.67/32,130.68
  6. Step 6: Final answer
    x = 18,622.97

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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.