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Finding the Fourth Proportional to 109,683, 164,525.40 and 26,577

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Solution

The fourth proportional to 109,683, 164,525.40 and 26,577 is: 39,865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,683 : 164,525.40 = 26,577 : x
  2. Step 2: Convert to fraction form
    109,683/164,525.40 = 26,577/x
  3. Step 3: Cross multiply
    109,683x = 164,525.40 × 26,577
  4. Step 4: Simplify right side
    109,683x = 4,372,591,555.80
  5. Step 5: Solve for x
    x = 4,372,591,555.80/109,683
  6. Step 6: Final answer
    x = 39,865.72

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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.