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Finding the Fourth Proportional to 49,310, 73,867.64 and 32,619.56

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Solution

The fourth proportional to 49,310, 73,867.64 and 32,619.56 is: 48,864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,310 : 73,867.64 = 32,619.56 : x
  2. Step 2: Convert to fraction form
    49,310/73,867.64 = 32,619.56/x
  3. Step 3: Cross multiply
    49,310x = 73,867.64 × 32,619.56
  4. Step 4: Simplify right side
    49,310x = 2,409,529,915.04
  5. Step 5: Solve for x
    x = 2,409,529,915.04/49,310
  6. Step 6: Final answer
    x = 48,864.93

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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.