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Finding the Fourth Proportional to 35,820.38, 49,433.37 and 19,905.50

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Solution

The fourth proportional to 35,820.38, 49,433.37 and 19,905.50 is: 27,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,820.38 : 49,433.37 = 19,905.50 : x
  2. Step 2: Convert to fraction form
    35,820.38/49,433.37 = 19,905.50/x
  3. Step 3: Cross multiply
    35,820.38x = 49,433.37 × 19,905.50
  4. Step 4: Simplify right side
    35,820.38x = 983,995,946.54
  5. Step 5: Solve for x
    x = 983,995,946.54/35,820.38
  6. Step 6: Final answer
    x = 27,470.28

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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.