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Finding the Fourth Proportional to 37,950.40, 56,938.36 and 23,894

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Solution

The fourth proportional to 37,950.40, 56,938.36 and 23,894 is: 35,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,950.40 : 56,938.36 = 23,894 : x
  2. Step 2: Convert to fraction form
    37,950.40/56,938.36 = 23,894/x
  3. Step 3: Cross multiply
    37,950.40x = 56,938.36 × 23,894
  4. Step 4: Simplify right side
    37,950.40x = 1,360,485,173.84
  5. Step 5: Solve for x
    x = 1,360,485,173.84/37,950.40
  6. Step 6: Final answer
    x = 35,849.03

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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.