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Finding the Fourth Proportional to 30,973.77, 46,461.26 and 9,917.82

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Solution

The fourth proportional to 30,973.77, 46,461.26 and 9,917.82 is: 14,876.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,973.77 : 46,461.26 = 9,917.82 : x
  2. Step 2: Convert to fraction form
    30,973.77/46,461.26 = 9,917.82/x
  3. Step 3: Cross multiply
    30,973.77x = 46,461.26 × 9,917.82
  4. Step 4: Simplify right side
    30,973.77x = 460,794,413.65
  5. Step 5: Solve for x
    x = 460,794,413.65/30,973.77
  6. Step 6: Final answer
    x = 14,876.92

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