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Finding the Fourth Proportional to 29,066.50, 43,600.16 and 8,290

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Solution

The fourth proportional to 29,066.50, 43,600.16 and 8,290 is: 12,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,066.50 : 43,600.16 = 8,290 : x
  2. Step 2: Convert to fraction form
    29,066.50/43,600.16 = 8,290/x
  3. Step 3: Cross multiply
    29,066.50x = 43,600.16 × 8,290
  4. Step 4: Simplify right side
    29,066.50x = 361,445,326.40
  5. Step 5: Solve for x
    x = 361,445,326.40/29,066.50
  6. Step 6: Final answer
    x = 12,435.12

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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.