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Finding the Fourth Proportional to 29,461.66, 44,199.41 and 9,740.21

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Solution

The fourth proportional to 29,461.66, 44,199.41 and 9,740.21 is: 14,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461.66 : 44,199.41 = 9,740.21 : x
  2. Step 2: Convert to fraction form
    29,461.66/44,199.41 = 9,740.21/x
  3. Step 3: Cross multiply
    29,461.66x = 44,199.41 × 9,740.21
  4. Step 4: Simplify right side
    29,461.66x = 430,511,597.07
  5. Step 5: Solve for x
    x = 430,511,597.07/29,461.66
  6. Step 6: Final answer
    x = 14,612.61

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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.