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Finding the Fourth Proportional to 50,178.88, 75,280.67 and 35,416.63

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Solution

The fourth proportional to 50,178.88, 75,280.67 and 35,416.63 is: 53,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,178.88 : 75,280.67 = 35,416.63 : x
  2. Step 2: Convert to fraction form
    50,178.88/75,280.67 = 35,416.63/x
  3. Step 3: Cross multiply
    50,178.88x = 75,280.67 × 35,416.63
  4. Step 4: Simplify right side
    50,178.88x = 2,666,187,635.54
  5. Step 5: Solve for x
    x = 2,666,187,635.54/50,178.88
  6. Step 6: Final answer
    x = 53,133.66

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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.