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Finding the Fourth Proportional to 50,509.50, 75,764.28 and 19,345.56

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Solution

The fourth proportional to 50,509.50, 75,764.28 and 19,345.56 is: 29,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.50 : 75,764.28 = 19,345.56 : x
  2. Step 2: Convert to fraction form
    50,509.50/75,764.28 = 19,345.56/x
  3. Step 3: Cross multiply
    50,509.50x = 75,764.28 × 19,345.56
  4. Step 4: Simplify right side
    50,509.50x = 1,465,702,424.60
  5. Step 5: Solve for x
    x = 1,465,702,424.60/50,509.50
  6. Step 6: Final answer
    x = 29,018.35

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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.