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Finding the Fourth Proportional to 50,509.52, 75,801.72 and 40,765.52

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Solution

The fourth proportional to 50,509.52, 75,801.72 and 40,765.52 is: 61,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.52 : 75,801.72 = 40,765.52 : x
  2. Step 2: Convert to fraction form
    50,509.52/75,801.72 = 40,765.52/x
  3. Step 3: Cross multiply
    50,509.52x = 75,801.72 × 40,765.52
  4. Step 4: Simplify right side
    50,509.52x = 3,090,096,532.69
  5. Step 5: Solve for x
    x = 3,090,096,532.69/50,509.52
  6. Step 6: Final answer
    x = 61,178.50

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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.