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Finding the Fourth Proportional to 50,772.80, 76,013.40 and 31,089.80

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Solution

The fourth proportional to 50,772.80, 76,013.40 and 31,089.80 is: 46,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,772.80 : 76,013.40 = 31,089.80 : x
  2. Step 2: Convert to fraction form
    50,772.80/76,013.40 = 31,089.80/x
  3. Step 3: Cross multiply
    50,772.80x = 76,013.40 × 31,089.80
  4. Step 4: Simplify right side
    50,772.80x = 2,363,241,403.32
  5. Step 5: Solve for x
    x = 2,363,241,403.32/50,772.80
  6. Step 6: Final answer
    x = 46,545.42

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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.