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Finding the Fourth Proportional to 30,841.84, 42,559.30 and 17,416.36

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Solution

The fourth proportional to 30,841.84, 42,559.30 and 17,416.36 is: 24,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.84 : 42,559.30 = 17,416.36 : x
  2. Step 2: Convert to fraction form
    30,841.84/42,559.30 = 17,416.36/x
  3. Step 3: Cross multiply
    30,841.84x = 42,559.30 × 17,416.36
  4. Step 4: Simplify right side
    30,841.84x = 741,228,090.15
  5. Step 5: Solve for x
    x = 741,228,090.15/30,841.84
  6. Step 6: Final answer
    x = 24,033.20

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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.