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Finding the Fourth Proportional to 30,853.50, 42,577.50 and 17,424.51

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Solution

The fourth proportional to 30,853.50, 42,577.50 and 17,424.51 is: 24,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,853.50 : 42,577.50 = 17,424.51 : x
  2. Step 2: Convert to fraction form
    30,853.50/42,577.50 = 17,424.51/x
  3. Step 3: Cross multiply
    30,853.50x = 42,577.50 × 17,424.51
  4. Step 4: Simplify right side
    30,853.50x = 741,892,074.53
  5. Step 5: Solve for x
    x = 741,892,074.53/30,853.50
  6. Step 6: Final answer
    x = 24,045.64

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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.