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Finding the Fourth Proportional to 30,665.70, 42,313.50 and 17,235.18

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Solution

The fourth proportional to 30,665.70, 42,313.50 and 17,235.18 is: 23,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665.70 : 42,313.50 = 17,235.18 : x
  2. Step 2: Convert to fraction form
    30,665.70/42,313.50 = 17,235.18/x
  3. Step 3: Cross multiply
    30,665.70x = 42,313.50 × 17,235.18
  4. Step 4: Simplify right side
    30,665.70x = 729,280,788.93
  5. Step 5: Solve for x
    x = 729,280,788.93/30,665.70
  6. Step 6: Final answer
    x = 23,781.64

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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.