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Finding the Fourth Proportional to 29,971.80, 44,957.70 and 22,195.80

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Solution

The fourth proportional to 29,971.80, 44,957.70 and 22,195.80 is: 33,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.80 : 44,957.70 = 22,195.80 : x
  2. Step 2: Convert to fraction form
    29,971.80/44,957.70 = 22,195.80/x
  3. Step 3: Cross multiply
    29,971.80x = 44,957.70 × 22,195.80
  4. Step 4: Simplify right side
    29,971.80x = 997,872,117.66
  5. Step 5: Solve for x
    x = 997,872,117.66/29,971.80
  6. Step 6: Final answer
    x = 33,293.70

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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.