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Finding the Fourth Proportional to 30,978.36, 46,460.58 and 8,791.26

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Solution

The fourth proportional to 30,978.36, 46,460.58 and 8,791.26 is: 13,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.36 : 46,460.58 = 8,791.26 : x
  2. Step 2: Convert to fraction form
    30,978.36/46,460.58 = 8,791.26/x
  3. Step 3: Cross multiply
    30,978.36x = 46,460.58 × 8,791.26
  4. Step 4: Simplify right side
    30,978.36x = 408,447,038.53
  5. Step 5: Solve for x
    x = 408,447,038.53/30,978.36
  6. Step 6: Final answer
    x = 13,184.91

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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.