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Finding the Fourth Proportional to 70,124, 96,771.04 and 41,454

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Solution

The fourth proportional to 70,124, 96,771.04 and 41,454 is: 57,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,124 : 96,771.04 = 41,454 : x
  2. Step 2: Convert to fraction form
    70,124/96,771.04 = 41,454/x
  3. Step 3: Cross multiply
    70,124x = 96,771.04 × 41,454
  4. Step 4: Simplify right side
    70,124x = 4,011,546,692.16
  5. Step 5: Solve for x
    x = 4,011,546,692.16/70,124
  6. Step 6: Final answer
    x = 57,206.47

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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.