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Finding the Fourth Proportional to 30,780.49, 46,170.76 and 23,770.75

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Solution

The fourth proportional to 30,780.49, 46,170.76 and 23,770.75 is: 35,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780.49 : 46,170.76 = 23,770.75 : x
  2. Step 2: Convert to fraction form
    30,780.49/46,170.76 = 23,770.75/x
  3. Step 3: Cross multiply
    30,780.49x = 46,170.76 × 23,770.75
  4. Step 4: Simplify right side
    30,780.49x = 1,097,513,593.27
  5. Step 5: Solve for x
    x = 1,097,513,593.27/30,780.49
  6. Step 6: Final answer
    x = 35,656.14

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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.