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Finding the Fourth Proportional to 50,722.80, 75,938.40 and 31,039.80

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Solution

The fourth proportional to 50,722.80, 75,938.40 and 31,039.80 is: 46,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,722.80 : 75,938.40 = 31,039.80 : x
  2. Step 2: Convert to fraction form
    50,722.80/75,938.40 = 31,039.80/x
  3. Step 3: Cross multiply
    50,722.80x = 75,938.40 × 31,039.80
  4. Step 4: Simplify right side
    50,722.80x = 2,357,112,748.32
  5. Step 5: Solve for x
    x = 2,357,112,748.32/50,722.80
  6. Step 6: Final answer
    x = 46,470.48

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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.