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Finding the Fourth Proportional to 72,877.76, 109,329.08 and 33,438.24

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Solution

The fourth proportional to 72,877.76, 109,329.08 and 33,438.24 is: 50,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,877.76 : 109,329.08 = 33,438.24 : x
  2. Step 2: Convert to fraction form
    72,877.76/109,329.08 = 33,438.24/x
  3. Step 3: Cross multiply
    72,877.76x = 109,329.08 × 33,438.24
  4. Step 4: Simplify right side
    72,877.76x = 3,655,772,016.02
  5. Step 5: Solve for x
    x = 3,655,772,016.02/72,877.76
  6. Step 6: Final answer
    x = 50,163.07

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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.