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Finding the Fourth Proportional to 51,216.40, 76,824.60 and 16,159.60

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Solution

The fourth proportional to 51,216.40, 76,824.60 and 16,159.60 is: 24,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,216.40 : 76,824.60 = 16,159.60 : x
  2. Step 2: Convert to fraction form
    51,216.40/76,824.60 = 16,159.60/x
  3. Step 3: Cross multiply
    51,216.40x = 76,824.60 × 16,159.60
  4. Step 4: Simplify right side
    51,216.40x = 1,241,454,806.16
  5. Step 5: Solve for x
    x = 1,241,454,806.16/51,216.40
  6. Step 6: Final answer
    x = 24,239.40

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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.