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Finding the Fourth Proportional to 50,330.57, 69,457.01 and 27,670.50

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Solution

The fourth proportional to 50,330.57, 69,457.01 and 27,670.50 is: 38,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,330.57 : 69,457.01 = 27,670.50 : x
  2. Step 2: Convert to fraction form
    50,330.57/69,457.01 = 27,670.50/x
  3. Step 3: Cross multiply
    50,330.57x = 69,457.01 × 27,670.50
  4. Step 4: Simplify right side
    50,330.57x = 1,921,910,056.85
  5. Step 5: Solve for x
    x = 1,921,910,056.85/50,330.57
  6. Step 6: Final answer
    x = 38,185.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.