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Finding the Fourth Proportional to 30,057.42, 41,475.63 and 17,314.77

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Solution

The fourth proportional to 30,057.42, 41,475.63 and 17,314.77 is: 23,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,057.42 : 41,475.63 = 17,314.77 : x
  2. Step 2: Convert to fraction form
    30,057.42/41,475.63 = 17,314.77/x
  3. Step 3: Cross multiply
    30,057.42x = 41,475.63 × 17,314.77
  4. Step 4: Simplify right side
    30,057.42x = 718,140,994.06
  5. Step 5: Solve for x
    x = 718,140,994.06/30,057.42
  6. Step 6: Final answer
    x = 23,892.30

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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.