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Finding the Fourth Proportional to 30,893.22, 46,341.68 and 8,708.49

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Solution

The fourth proportional to 30,893.22, 46,341.68 and 8,708.49 is: 13,063.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.22 : 46,341.68 = 8,708.49 : x
  2. Step 2: Convert to fraction form
    30,893.22/46,341.68 = 8,708.49/x
  3. Step 3: Cross multiply
    30,893.22x = 46,341.68 × 8,708.49
  4. Step 4: Simplify right side
    30,893.22x = 403,566,013.32
  5. Step 5: Solve for x
    x = 403,566,013.32/30,893.22
  6. Step 6: Final answer
    x = 13,063.26

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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.