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Finding the Fourth Proportional to 30,842.01, 46,259.57 and 8,656.24

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Solution

The fourth proportional to 30,842.01, 46,259.57 and 8,656.24 is: 12,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.01 : 46,259.57 = 8,656.24 : x
  2. Step 2: Convert to fraction form
    30,842.01/46,259.57 = 8,656.24/x
  3. Step 3: Cross multiply
    30,842.01x = 46,259.57 × 8,656.24
  4. Step 4: Simplify right side
    30,842.01x = 400,433,940.22
  5. Step 5: Solve for x
    x = 400,433,940.22/30,842.01
  6. Step 6: Final answer
    x = 12,983.39

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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.