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Finding the Fourth Proportional to 50,970.16, 76,452.54 and 15,905.80

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Solution

The fourth proportional to 50,970.16, 76,452.54 and 15,905.80 is: 23,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,970.16 : 76,452.54 = 15,905.80 : x
  2. Step 2: Convert to fraction form
    50,970.16/76,452.54 = 15,905.80/x
  3. Step 3: Cross multiply
    50,970.16x = 76,452.54 × 15,905.80
  4. Step 4: Simplify right side
    50,970.16x = 1,216,038,810.73
  5. Step 5: Solve for x
    x = 1,216,038,810.73/50,970.16
  6. Step 6: Final answer
    x = 23,857.86

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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.