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Finding the Fourth Proportional to 70,475.10, 105,712.17 and 17,166.43

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Solution

The fourth proportional to 70,475.10, 105,712.17 and 17,166.43 is: 25,749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,475.10 : 105,712.17 = 17,166.43 : x
  2. Step 2: Convert to fraction form
    70,475.10/105,712.17 = 17,166.43/x
  3. Step 3: Cross multiply
    70,475.10x = 105,712.17 × 17,166.43
  4. Step 4: Simplify right side
    70,475.10x = 1,814,700,566.45
  5. Step 5: Solve for x
    x = 1,814,700,566.45/70,475.10
  6. Step 6: Final answer
    x = 25,749.53

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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.