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Finding the Fourth Proportional to 38,934.30, 53,728.21 and 21,938.23

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Solution

The fourth proportional to 38,934.30, 53,728.21 and 21,938.23 is: 30,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,934.30 : 53,728.21 = 21,938.23 : x
  2. Step 2: Convert to fraction form
    38,934.30/53,728.21 = 21,938.23/x
  3. Step 3: Cross multiply
    38,934.30x = 53,728.21 × 21,938.23
  4. Step 4: Simplify right side
    38,934.30x = 1,178,701,847.50
  5. Step 5: Solve for x
    x = 1,178,701,847.50/38,934.30
  6. Step 6: Final answer
    x = 30,274.13

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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.