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Finding the Fourth Proportional to 30,842.26, 46,259.93 and 8,656.49

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Solution

The fourth proportional to 30,842.26, 46,259.93 and 8,656.49 is: 12,983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.26 : 46,259.93 = 8,656.49 : x
  2. Step 2: Convert to fraction form
    30,842.26/46,259.93 = 8,656.49/x
  3. Step 3: Cross multiply
    30,842.26x = 46,259.93 × 8,656.49
  4. Step 4: Simplify right side
    30,842.26x = 400,448,758.74
  5. Step 5: Solve for x
    x = 400,448,758.74/30,842.26
  6. Step 6: Final answer
    x = 12,983.77

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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.