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Finding the Fourth Proportional to 46,791.22, 70,186.95 and 11,730.98

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Solution

The fourth proportional to 46,791.22, 70,186.95 and 11,730.98 is: 17,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,791.22 : 70,186.95 = 11,730.98 : x
  2. Step 2: Convert to fraction form
    46,791.22/70,186.95 = 11,730.98/x
  3. Step 3: Cross multiply
    46,791.22x = 70,186.95 × 11,730.98
  4. Step 4: Simplify right side
    46,791.22x = 823,361,706.71
  5. Step 5: Solve for x
    x = 823,361,706.71/46,791.22
  6. Step 6: Final answer
    x = 17,596.50

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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.