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Finding the Fourth Proportional to 30,968.49, 46,454.51 and 8,780.13

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Solution

The fourth proportional to 30,968.49, 46,454.51 and 8,780.13 is: 13,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968.49 : 46,454.51 = 8,780.13 : x
  2. Step 2: Convert to fraction form
    30,968.49/46,454.51 = 8,780.13/x
  3. Step 3: Cross multiply
    30,968.49x = 46,454.51 × 8,780.13
  4. Step 4: Simplify right side
    30,968.49x = 407,876,636.89
  5. Step 5: Solve for x
    x = 407,876,636.89/30,968.49
  6. Step 6: Final answer
    x = 13,170.70

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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.