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Finding the Fourth Proportional to 34,742.34, 52,113.13 and 8,447.10

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Solution

The fourth proportional to 34,742.34, 52,113.13 and 8,447.10 is: 12,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,742.34 : 52,113.13 = 8,447.10 : x
  2. Step 2: Convert to fraction form
    34,742.34/52,113.13 = 8,447.10/x
  3. Step 3: Cross multiply
    34,742.34x = 52,113.13 × 8,447.10
  4. Step 4: Simplify right side
    34,742.34x = 440,204,820.42
  5. Step 5: Solve for x
    x = 440,204,820.42/34,742.34
  6. Step 6: Final answer
    x = 12,670.56

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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.