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Finding the Fourth Proportional to 70,898, 106,364.28 and 21,650

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Solution

The fourth proportional to 70,898, 106,364.28 and 21,650 is: 32,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,898 : 106,364.28 = 21,650 : x
  2. Step 2: Convert to fraction form
    70,898/106,364.28 = 21,650/x
  3. Step 3: Cross multiply
    70,898x = 106,364.28 × 21,650
  4. Step 4: Simplify right side
    70,898x = 2,302,786,662
  5. Step 5: Solve for x
    x = 2,302,786,662/70,898
  6. Step 6: Final answer
    x = 32,480.28

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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.