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Finding the Fourth Proportional to 50,703.80, 75,909.90 and 31,020.80

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Solution

The fourth proportional to 50,703.80, 75,909.90 and 31,020.80 is: 46,442.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,703.80 : 75,909.90 = 31,020.80 : x
  2. Step 2: Convert to fraction form
    50,703.80/75,909.90 = 31,020.80/x
  3. Step 3: Cross multiply
    50,703.80x = 75,909.90 × 31,020.80
  4. Step 4: Simplify right side
    50,703.80x = 2,354,785,825.92
  5. Step 5: Solve for x
    x = 2,354,785,825.92/50,703.80
  6. Step 6: Final answer
    x = 46,442.00

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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.