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Finding the Fourth Proportional to 37,689.57, 52,021.04 and 21,784.01

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Solution

The fourth proportional to 37,689.57, 52,021.04 and 21,784.01 is: 30,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,689.57 : 52,021.04 = 21,784.01 : x
  2. Step 2: Convert to fraction form
    37,689.57/52,021.04 = 21,784.01/x
  3. Step 3: Cross multiply
    37,689.57x = 52,021.04 × 21,784.01
  4. Step 4: Simplify right side
    37,689.57x = 1,133,226,486.55
  5. Step 5: Solve for x
    x = 1,133,226,486.55/37,689.57
  6. Step 6: Final answer
    x = 30,067.38

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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.