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Finding the Fourth Proportional to 65,806, 98,709 and 22,030

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Solution

The fourth proportional to 65,806, 98,709 and 22,030 is: 33,045

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,806 : 98,709 = 22,030 : x
  2. Step 2: Convert to fraction form
    65,806/98,709 = 22,030/x
  3. Step 3: Cross multiply
    65,806x = 98,709 × 22,030
  4. Step 4: Simplify right side
    65,806x = 2,174,559,270
  5. Step 5: Solve for x
    x = 2,174,559,270/65,806
  6. Step 6: Final answer
    x = 33,045

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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.