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Finding the Fourth Proportional to 50,567.32, 75,808.14 and 20,966.68

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Solution

The fourth proportional to 50,567.32, 75,808.14 and 20,966.68 is: 31,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,567.32 : 75,808.14 = 20,966.68 : x
  2. Step 2: Convert to fraction form
    50,567.32/75,808.14 = 20,966.68/x
  3. Step 3: Cross multiply
    50,567.32x = 75,808.14 × 20,966.68
  4. Step 4: Simplify right side
    50,567.32x = 1,589,445,012.78
  5. Step 5: Solve for x
    x = 1,589,445,012.78/50,567.32
  6. Step 6: Final answer
    x = 31,432.26

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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.