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Finding the Fourth Proportional to 50,978.50, 76,471.80 and 13,537.60

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Solution

The fourth proportional to 50,978.50, 76,471.80 and 13,537.60 is: 20,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,978.50 : 76,471.80 = 13,537.60 : x
  2. Step 2: Convert to fraction form
    50,978.50/76,471.80 = 13,537.60/x
  3. Step 3: Cross multiply
    50,978.50x = 76,471.80 × 13,537.60
  4. Step 4: Simplify right side
    50,978.50x = 1,035,244,397.73
  5. Step 5: Solve for x
    x = 1,035,244,397.73/50,978.50
  6. Step 6: Final answer
    x = 20,307.47

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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.