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Finding the Fourth Proportional to 30,770.42, 46,242.20 and 18,292.67

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Solution

The fourth proportional to 30,770.42, 46,242.20 and 18,292.67 is: 27,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.42 : 46,242.20 = 18,292.67 : x
  2. Step 2: Convert to fraction form
    30,770.42/46,242.20 = 18,292.67/x
  3. Step 3: Cross multiply
    30,770.42x = 46,242.20 × 18,292.67
  4. Step 4: Simplify right side
    30,770.42x = 845,893,304.67
  5. Step 5: Solve for x
    x = 845,893,304.67/30,770.42
  6. Step 6: Final answer
    x = 27,490.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.