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Finding the Fourth Proportional to 29,675.10, 44,518.73 and 9,967.80

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Solution

The fourth proportional to 29,675.10, 44,518.73 and 9,967.80 is: 14,953.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,675.10 : 44,518.73 = 9,967.80 : x
  2. Step 2: Convert to fraction form
    29,675.10/44,518.73 = 9,967.80/x
  3. Step 3: Cross multiply
    29,675.10x = 44,518.73 × 9,967.80
  4. Step 4: Simplify right side
    29,675.10x = 443,753,796.89
  5. Step 5: Solve for x
    x = 443,753,796.89/29,675.10
  6. Step 6: Final answer
    x = 14,953.74

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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.