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Finding the Fourth Proportional to 36,417.96, 50,256 and 20,502.06

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Solution

The fourth proportional to 36,417.96, 50,256 and 20,502.06 is: 28,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,417.96 : 50,256 = 20,502.06 : x
  2. Step 2: Convert to fraction form
    36,417.96/50,256 = 20,502.06/x
  3. Step 3: Cross multiply
    36,417.96x = 50,256 × 20,502.06
  4. Step 4: Simplify right side
    36,417.96x = 1,030,351,527.36
  5. Step 5: Solve for x
    x = 1,030,351,527.36/36,417.96
  6. Step 6: Final answer
    x = 28,292.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.