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Finding the Fourth Proportional to 30,596.97, 42,217.59 and 22,112.01

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Solution

The fourth proportional to 30,596.97, 42,217.59 and 22,112.01 is: 30,510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.97 : 42,217.59 = 22,112.01 : x
  2. Step 2: Convert to fraction form
    30,596.97/42,217.59 = 22,112.01/x
  3. Step 3: Cross multiply
    30,596.97x = 42,217.59 × 22,112.01
  4. Step 4: Simplify right side
    30,596.97x = 933,515,772.26
  5. Step 5: Solve for x
    x = 933,515,772.26/30,596.97
  6. Step 6: Final answer
    x = 30,510.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.