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Finding the Fourth Proportional to 29,684.68, 40,946.01 and 18,194.22

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Solution

The fourth proportional to 29,684.68, 40,946.01 and 18,194.22 is: 25,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,684.68 : 40,946.01 = 18,194.22 : x
  2. Step 2: Convert to fraction form
    29,684.68/40,946.01 = 18,194.22/x
  3. Step 3: Cross multiply
    29,684.68x = 40,946.01 × 18,194.22
  4. Step 4: Simplify right side
    29,684.68x = 744,980,645.83
  5. Step 5: Solve for x
    x = 744,980,645.83/29,684.68
  6. Step 6: Final answer
    x = 25,096.47

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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.