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Finding the Fourth Proportional to 67,652.79, 101,477.09 and 32,139.67

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Solution

The fourth proportional to 67,652.79, 101,477.09 and 32,139.67 is: 48,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,652.79 : 101,477.09 = 32,139.67 : x
  2. Step 2: Convert to fraction form
    67,652.79/101,477.09 = 32,139.67/x
  3. Step 3: Cross multiply
    67,652.79x = 101,477.09 × 32,139.67
  4. Step 4: Simplify right side
    67,652.79x = 3,261,439,517.08
  5. Step 5: Solve for x
    x = 3,261,439,517.08/67,652.79
  6. Step 6: Final answer
    x = 48,208.50

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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.