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Finding the Fourth Proportional to 66,953.34, 100,446.89 and 47,270.34

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Solution

The fourth proportional to 66,953.34, 100,446.89 and 47,270.34 is: 70,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,953.34 : 100,446.89 = 47,270.34 : x
  2. Step 2: Convert to fraction form
    66,953.34/100,446.89 = 47,270.34/x
  3. Step 3: Cross multiply
    66,953.34x = 100,446.89 × 47,270.34
  4. Step 4: Simplify right side
    66,953.34x = 4,748,158,405.89
  5. Step 5: Solve for x
    x = 4,748,158,405.89/66,953.34
  6. Step 6: Final answer
    x = 70,917.42

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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.