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Finding the Fourth Proportional to 32,119.11, 48,150.98 and 12,411.50

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Solution

The fourth proportional to 32,119.11, 48,150.98 and 12,411.50 is: 18,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,119.11 : 48,150.98 = 12,411.50 : x
  2. Step 2: Convert to fraction form
    32,119.11/48,150.98 = 12,411.50/x
  3. Step 3: Cross multiply
    32,119.11x = 48,150.98 × 12,411.50
  4. Step 4: Simplify right side
    32,119.11x = 597,625,632.00
  5. Step 5: Solve for x
    x = 597,625,632.00/32,119.11
  6. Step 6: Final answer
    x = 18,606.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.