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Finding the Fourth Proportional to 109,852.60, 164,805.90 and 30,965.80

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Solution

The fourth proportional to 109,852.60, 164,805.90 and 30,965.80 is: 46,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,852.60 : 164,805.90 = 30,965.80 : x
  2. Step 2: Convert to fraction form
    109,852.60/164,805.90 = 30,965.80/x
  3. Step 3: Cross multiply
    109,852.60x = 164,805.90 × 30,965.80
  4. Step 4: Simplify right side
    109,852.60x = 5,103,346,538.22
  5. Step 5: Solve for x
    x = 5,103,346,538.22/109,852.60
  6. Step 6: Final answer
    x = 46,456.31

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1.5x scale

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.