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Finding the Fourth Proportional to 109,763.80, 164,645.70 and 26,657.80

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Solution

The fourth proportional to 109,763.80, 164,645.70 and 26,657.80 is: 39,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,763.80 : 164,645.70 = 26,657.80 : x
  2. Step 2: Convert to fraction form
    109,763.80/164,645.70 = 26,657.80/x
  3. Step 3: Cross multiply
    109,763.80x = 164,645.70 × 26,657.80
  4. Step 4: Simplify right side
    109,763.80x = 4,389,092,141.46
  5. Step 5: Solve for x
    x = 4,389,092,141.46/109,763.80
  6. Step 6: Final answer
    x = 39,986.70

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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.