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Finding the Fourth Proportional to 46,791.78, 70,166.82 and 13,503.93

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Solution

The fourth proportional to 46,791.78, 70,166.82 and 13,503.93 is: 20,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,791.78 : 70,166.82 = 13,503.93 : x
  2. Step 2: Convert to fraction form
    46,791.78/70,166.82 = 13,503.93/x
  3. Step 3: Cross multiply
    46,791.78x = 70,166.82 × 13,503.93
  4. Step 4: Simplify right side
    46,791.78x = 947,527,654.82
  5. Step 5: Solve for x
    x = 947,527,654.82/46,791.78
  6. Step 6: Final answer
    x = 20,249.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.