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Finding the Fourth Proportional to 30,818.40, 46,227.60 and 8,632.50

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Solution

The fourth proportional to 30,818.40, 46,227.60 and 8,632.50 is: 12,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,818.40 : 46,227.60 = 8,632.50 : x
  2. Step 2: Convert to fraction form
    30,818.40/46,227.60 = 8,632.50/x
  3. Step 3: Cross multiply
    30,818.40x = 46,227.60 × 8,632.50
  4. Step 4: Simplify right side
    30,818.40x = 399,059,757
  5. Step 5: Solve for x
    x = 399,059,757/30,818.40
  6. Step 6: Final answer
    x = 12,948.75

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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.