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Finding the Fourth Proportional to 35,654.74, 49,203.93 and 19,739.46

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Solution

The fourth proportional to 35,654.74, 49,203.93 and 19,739.46 is: 27,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,654.74 : 49,203.93 = 19,739.46 : x
  2. Step 2: Convert to fraction form
    35,654.74/49,203.93 = 19,739.46/x
  3. Step 3: Cross multiply
    35,654.74x = 49,203.93 × 19,739.46
  4. Step 4: Simplify right side
    35,654.74x = 971,259,008.08
  5. Step 5: Solve for x
    x = 971,259,008.08/35,654.74
  6. Step 6: Final answer
    x = 27,240.67

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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.