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Finding the Fourth Proportional to 30,837.44, 42,555.60 and 17,411.48

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Solution

The fourth proportional to 30,837.44, 42,555.60 and 17,411.48 is: 24,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837.44 : 42,555.60 = 17,411.48 : x
  2. Step 2: Convert to fraction form
    30,837.44/42,555.60 = 17,411.48/x
  3. Step 3: Cross multiply
    30,837.44x = 42,555.60 × 17,411.48
  4. Step 4: Simplify right side
    30,837.44x = 740,955,978.29
  5. Step 5: Solve for x
    x = 740,955,978.29/30,837.44
  6. Step 6: Final answer
    x = 24,027.80

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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.