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Finding the Fourth Proportional to 35,905.76, 49,548.84 and 19,989.86

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Solution

The fourth proportional to 35,905.76, 49,548.84 and 19,989.86 is: 27,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,905.76 : 49,548.84 = 19,989.86 : x
  2. Step 2: Convert to fraction form
    35,905.76/49,548.84 = 19,989.86/x
  3. Step 3: Cross multiply
    35,905.76x = 49,548.84 × 19,989.86
  4. Step 4: Simplify right side
    35,905.76x = 990,474,374.76
  5. Step 5: Solve for x
    x = 990,474,374.76/35,905.76
  6. Step 6: Final answer
    x = 27,585.39

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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.