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Finding the Fourth Proportional to 35,706.96, 49,277.36 and 19,791.47

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Solution

The fourth proportional to 35,706.96, 49,277.36 and 19,791.47 is: 27,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,706.96 : 49,277.36 = 19,791.47 : x
  2. Step 2: Convert to fraction form
    35,706.96/49,277.36 = 19,791.47/x
  3. Step 3: Cross multiply
    35,706.96x = 49,277.36 × 19,791.47
  4. Step 4: Simplify right side
    35,706.96x = 975,271,564.79
  5. Step 5: Solve for x
    x = 975,271,564.79/35,706.96
  6. Step 6: Final answer
    x = 27,313.21

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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.