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Finding the Fourth Proportional to 51,880.15, 77,794.04 and 23,776.50

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Solution

The fourth proportional to 51,880.15, 77,794.04 and 23,776.50 is: 35,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,880.15 : 77,794.04 = 23,776.50 : x
  2. Step 2: Convert to fraction form
    51,880.15/77,794.04 = 23,776.50/x
  3. Step 3: Cross multiply
    51,880.15x = 77,794.04 × 23,776.50
  4. Step 4: Simplify right side
    51,880.15x = 1,849,670,209.49
  5. Step 5: Solve for x
    x = 1,849,670,209.49/51,880.15
  6. Step 6: Final answer
    x = 35,652.76

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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.