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Finding the Fourth Proportional to 50,332.56, 69,459.76 and 27,672.50

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Solution

The fourth proportional to 50,332.56, 69,459.76 and 27,672.50 is: 38,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,332.56 : 69,459.76 = 27,672.50 : x
  2. Step 2: Convert to fraction form
    50,332.56/69,459.76 = 27,672.50/x
  3. Step 3: Cross multiply
    50,332.56x = 69,459.76 × 27,672.50
  4. Step 4: Simplify right side
    50,332.56x = 1,922,125,208.60
  5. Step 5: Solve for x
    x = 1,922,125,208.60/50,332.56
  6. Step 6: Final answer
    x = 38,188.50

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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.