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Finding the Fourth Proportional to 35,705.76, 49,273.11 and 20,598.45

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Solution

The fourth proportional to 35,705.76, 49,273.11 and 20,598.45 is: 28,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,705.76 : 49,273.11 = 20,598.45 : x
  2. Step 2: Convert to fraction form
    35,705.76/49,273.11 = 20,598.45/x
  3. Step 3: Cross multiply
    35,705.76x = 49,273.11 × 20,598.45
  4. Step 4: Simplify right side
    35,705.76x = 1,014,949,692.68
  5. Step 5: Solve for x
    x = 1,014,949,692.68/35,705.76
  6. Step 6: Final answer
    x = 28,425.38

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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.