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Finding the Fourth Proportional to 51,642.36, 77,370.12 and 23,586.12

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Solution

The fourth proportional to 51,642.36, 77,370.12 and 23,586.12 is: 35,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,642.36 : 77,370.12 = 23,586.12 : x
  2. Step 2: Convert to fraction form
    51,642.36/77,370.12 = 23,586.12/x
  3. Step 3: Cross multiply
    51,642.36x = 77,370.12 × 23,586.12
  4. Step 4: Simplify right side
    51,642.36x = 1,824,860,934.73
  5. Step 5: Solve for x
    x = 1,824,860,934.73/51,642.36
  6. Step 6: Final answer
    x = 35,336.51

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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.