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Finding the Fourth Proportional to 30,827.88, 46,236.51 and 8,636.00

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Solution

The fourth proportional to 30,827.88, 46,236.51 and 8,636.00 is: 12,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827.88 : 46,236.51 = 8,636.00 : x
  2. Step 2: Convert to fraction form
    30,827.88/46,236.51 = 8,636.00/x
  3. Step 3: Cross multiply
    30,827.88x = 46,236.51 × 8,636.00
  4. Step 4: Simplify right side
    30,827.88x = 399,298,269.18
  5. Step 5: Solve for x
    x = 399,298,269.18/30,827.88
  6. Step 6: Final answer
    x = 12,952.50

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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.