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Finding the Fourth Proportional to 30,837.68, 42,564.21 and 17,416.79

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Solution

The fourth proportional to 30,837.68, 42,564.21 and 17,416.79 is: 24,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837.68 : 42,564.21 = 17,416.79 : x
  2. Step 2: Convert to fraction form
    30,837.68/42,564.21 = 17,416.79/x
  3. Step 3: Cross multiply
    30,837.68x = 42,564.21 × 17,416.79
  4. Step 4: Simplify right side
    30,837.68x = 741,331,907.09
  5. Step 5: Solve for x
    x = 741,331,907.09/30,837.68
  6. Step 6: Final answer
    x = 24,039.81

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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.