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Finding the Fourth Proportional to 38,851, 53,614.44 and 22,084

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Solution

The fourth proportional to 38,851, 53,614.44 and 22,084 is: 30,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,851 : 53,614.44 = 22,084 : x
  2. Step 2: Convert to fraction form
    38,851/53,614.44 = 22,084/x
  3. Step 3: Cross multiply
    38,851x = 53,614.44 × 22,084
  4. Step 4: Simplify right side
    38,851x = 1,184,021,292.96
  5. Step 5: Solve for x
    x = 1,184,021,292.96/38,851
  6. Step 6: Final answer
    x = 30,475.95

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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.