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Finding the Fourth Proportional to 50,442.56, 75,668.16 and 20,854.72

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Solution

The fourth proportional to 50,442.56, 75,668.16 and 20,854.72 is: 31,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,442.56 : 75,668.16 = 20,854.72 : x
  2. Step 2: Convert to fraction form
    50,442.56/75,668.16 = 20,854.72/x
  3. Step 3: Cross multiply
    50,442.56x = 75,668.16 × 20,854.72
  4. Step 4: Simplify right side
    50,442.56x = 1,578,038,289.72
  5. Step 5: Solve for x
    x = 1,578,038,289.72/50,442.56
  6. Step 6: Final answer
    x = 31,283.87

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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.