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Finding the Fourth Proportional to 34,742.24, 52,112.64 and 8,447.12

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Solution

The fourth proportional to 34,742.24, 52,112.64 and 8,447.12 is: 12,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,742.24 : 52,112.64 = 8,447.12 : x
  2. Step 2: Convert to fraction form
    34,742.24/52,112.64 = 8,447.12/x
  3. Step 3: Cross multiply
    34,742.24x = 52,112.64 × 8,447.12
  4. Step 4: Simplify right side
    34,742.24x = 440,201,723.60
  5. Step 5: Solve for x
    x = 440,201,723.60/34,742.24
  6. Step 6: Final answer
    x = 12,670.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.