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Finding the Fourth Proportional to 37,782.96, 56,622.60 and 23,907.12

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Solution

The fourth proportional to 37,782.96, 56,622.60 and 23,907.12 is: 35,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782.96 : 56,622.60 = 23,907.12 : x
  2. Step 2: Convert to fraction form
    37,782.96/56,622.60 = 23,907.12/x
  3. Step 3: Cross multiply
    37,782.96x = 56,622.60 × 23,907.12
  4. Step 4: Simplify right side
    37,782.96x = 1,353,683,292.91
  5. Step 5: Solve for x
    x = 1,353,683,292.91/37,782.96
  6. Step 6: Final answer
    x = 35,827.88

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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.