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Finding the Fourth Proportional to 37,980.68, 52,414.63 and 23,841.32

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Solution

The fourth proportional to 37,980.68, 52,414.63 and 23,841.32 is: 32,901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,980.68 : 52,414.63 = 23,841.32 : x
  2. Step 2: Convert to fraction form
    37,980.68/52,414.63 = 23,841.32/x
  3. Step 3: Cross multiply
    37,980.68x = 52,414.63 × 23,841.32
  4. Step 4: Simplify right side
    37,980.68x = 1,249,633,644.84
  5. Step 5: Solve for x
    x = 1,249,633,644.84/37,980.68
  6. Step 6: Final answer
    x = 32,901.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.