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Finding the Fourth Proportional to 30,589.69, 42,211.29 and 17,159.08

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Solution

The fourth proportional to 30,589.69, 42,211.29 and 17,159.08 is: 23,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589.69 : 42,211.29 = 17,159.08 : x
  2. Step 2: Convert to fraction form
    30,589.69/42,211.29 = 17,159.08/x
  3. Step 3: Cross multiply
    30,589.69x = 42,211.29 × 17,159.08
  4. Step 4: Simplify right side
    30,589.69x = 724,306,902.01
  5. Step 5: Solve for x
    x = 724,306,902.01/30,589.69
  6. Step 6: Final answer
    x = 23,678.14

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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.