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Finding the Fourth Proportional to 44,656.50, 66,964.68 and 32,124

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Solution

The fourth proportional to 44,656.50, 66,964.68 and 32,124 is: 48,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,656.50 : 66,964.68 = 32,124 : x
  2. Step 2: Convert to fraction form
    44,656.50/66,964.68 = 32,124/x
  3. Step 3: Cross multiply
    44,656.50x = 66,964.68 × 32,124
  4. Step 4: Simplify right side
    44,656.50x = 2,151,173,380.32
  5. Step 5: Solve for x
    x = 2,151,173,380.32/44,656.50
  6. Step 6: Final answer
    x = 48,171.56

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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.