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Finding the Fourth Proportional to 35,740.39, 49,321.38 and 19,824.79

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Solution

The fourth proportional to 35,740.39, 49,321.38 and 19,824.79 is: 27,358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,740.39 : 49,321.38 = 19,824.79 : x
  2. Step 2: Convert to fraction form
    35,740.39/49,321.38 = 19,824.79/x
  3. Step 3: Cross multiply
    35,740.39x = 49,321.38 × 19,824.79
  4. Step 4: Simplify right side
    35,740.39x = 977,786,001.01
  5. Step 5: Solve for x
    x = 977,786,001.01/35,740.39
  6. Step 6: Final answer
    x = 27,358.01

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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.