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Finding the Fourth Proportional to 30,585.49, 42,202.62 and 17,157.31

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Solution

The fourth proportional to 30,585.49, 42,202.62 and 17,157.31 is: 23,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585.49 : 42,202.62 = 17,157.31 : x
  2. Step 2: Convert to fraction form
    30,585.49/42,202.62 = 17,157.31/x
  3. Step 3: Cross multiply
    30,585.49x = 42,202.62 × 17,157.31
  4. Step 4: Simplify right side
    30,585.49x = 724,083,434.15
  5. Step 5: Solve for x
    x = 724,083,434.15/30,585.49
  6. Step 6: Final answer
    x = 23,674.08

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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.