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Finding the Fourth Proportional to 51,494.94, 77,222.97 and 23,773.50

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Solution

The fourth proportional to 51,494.94, 77,222.97 and 23,773.50 is: 35,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,494.94 : 77,222.97 = 23,773.50 : x
  2. Step 2: Convert to fraction form
    51,494.94/77,222.97 = 23,773.50/x
  3. Step 3: Cross multiply
    51,494.94x = 77,222.97 × 23,773.50
  4. Step 4: Simplify right side
    51,494.94x = 1,835,860,277.30
  5. Step 5: Solve for x
    x = 1,835,860,277.30/51,494.94
  6. Step 6: Final answer
    x = 35,651.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.