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Finding the Fourth Proportional to 30,653.50, 45,980.18 and 8,466.82

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Solution

The fourth proportional to 30,653.50, 45,980.18 and 8,466.82 is: 12,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653.50 : 45,980.18 = 8,466.82 : x
  2. Step 2: Convert to fraction form
    30,653.50/45,980.18 = 8,466.82/x
  3. Step 3: Cross multiply
    30,653.50x = 45,980.18 × 8,466.82
  4. Step 4: Simplify right side
    30,653.50x = 389,305,907.63
  5. Step 5: Solve for x
    x = 389,305,907.63/30,653.50
  6. Step 6: Final answer
    x = 12,700.21

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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.