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Finding the Fourth Proportional to 70,926.84, 106,391.34 and 21,011.94

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Solution

The fourth proportional to 70,926.84, 106,391.34 and 21,011.94 is: 31,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,926.84 : 106,391.34 = 21,011.94 : x
  2. Step 2: Convert to fraction form
    70,926.84/106,391.34 = 21,011.94/x
  3. Step 3: Cross multiply
    70,926.84x = 106,391.34 × 21,011.94
  4. Step 4: Simplify right side
    70,926.84x = 2,235,488,452.60
  5. Step 5: Solve for x
    x = 2,235,488,452.60/70,926.84
  6. Step 6: Final answer
    x = 31,518.23

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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.