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Finding the Fourth Proportional to 32,615.46, 48,964.50 and 27,135.81

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Solution

The fourth proportional to 32,615.46, 48,964.50 and 27,135.81 is: 40,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,615.46 : 48,964.50 = 27,135.81 : x
  2. Step 2: Convert to fraction form
    32,615.46/48,964.50 = 27,135.81/x
  3. Step 3: Cross multiply
    32,615.46x = 48,964.50 × 27,135.81
  4. Step 4: Simplify right side
    32,615.46x = 1,328,691,368.75
  5. Step 5: Solve for x
    x = 1,328,691,368.75/32,615.46
  6. Step 6: Final answer
    x = 40,738.08

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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.