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Finding the Fourth Proportional to 35,698.34, 49,267.44 and 20,594.40

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Solution

The fourth proportional to 35,698.34, 49,267.44 and 20,594.40 is: 28,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698.34 : 49,267.44 = 20,594.40 : x
  2. Step 2: Convert to fraction form
    35,698.34/49,267.44 = 20,594.40/x
  3. Step 3: Cross multiply
    35,698.34x = 49,267.44 × 20,594.40
  4. Step 4: Simplify right side
    35,698.34x = 1,014,633,366.34
  5. Step 5: Solve for x
    x = 1,014,633,366.34/35,698.34
  6. Step 6: Final answer
    x = 28,422.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.