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Finding the Fourth Proportional to 50,471.63, 75,707.45 and 13,535.63

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Solution

The fourth proportional to 50,471.63, 75,707.45 and 13,535.63 is: 20,303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,471.63 : 75,707.45 = 13,535.63 : x
  2. Step 2: Convert to fraction form
    50,471.63/75,707.45 = 13,535.63/x
  3. Step 3: Cross multiply
    50,471.63x = 75,707.45 × 13,535.63
  4. Step 4: Simplify right side
    50,471.63x = 1,024,747,585.23
  5. Step 5: Solve for x
    x = 1,024,747,585.23/50,471.63
  6. Step 6: Final answer
    x = 20,303.44

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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.