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Finding the Fourth Proportional to 50,509.37, 75,577.00 and 37,192.21

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Solution

The fourth proportional to 50,509.37, 75,577.00 and 37,192.21 is: 55,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.37 : 75,577.00 = 37,192.21 : x
  2. Step 2: Convert to fraction form
    50,509.37/75,577.00 = 37,192.21/x
  3. Step 3: Cross multiply
    50,509.37x = 75,577.00 × 37,192.21
  4. Step 4: Simplify right side
    50,509.37x = 2,810,875,868.10
  5. Step 5: Solve for x
    x = 2,810,875,868.10/50,509.37
  6. Step 6: Final answer
    x = 55,650.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.