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Finding the Fourth Proportional to 37,842, 56,826.24 and 23,643.48

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Solution

The fourth proportional to 37,842, 56,826.24 and 23,643.48 is: 35,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842 : 56,826.24 = 23,643.48 : x
  2. Step 2: Convert to fraction form
    37,842/56,826.24 = 23,643.48/x
  3. Step 3: Cross multiply
    37,842x = 56,826.24 × 23,643.48
  4. Step 4: Simplify right side
    37,842x = 1,343,570,068.92
  5. Step 5: Solve for x
    x = 1,343,570,068.92/37,842
  6. Step 6: Final answer
    x = 35,504.73

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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.