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Finding the Fourth Proportional to 31,494, 43,461.74 and 17,346.86

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Solution

The fourth proportional to 31,494, 43,461.74 and 17,346.86 is: 23,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494 : 43,461.74 = 17,346.86 : x
  2. Step 2: Convert to fraction form
    31,494/43,461.74 = 17,346.86/x
  3. Step 3: Cross multiply
    31,494x = 43,461.74 × 17,346.86
  4. Step 4: Simplify right side
    31,494x = 753,924,415.09
  5. Step 5: Solve for x
    x = 753,924,415.09/31,494
  6. Step 6: Final answer
    x = 23,938.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.