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Finding the Fourth Proportional to 30,866.40, 46,348.20 and 17,744.40

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Solution

The fourth proportional to 30,866.40, 46,348.20 and 17,744.40 is: 26,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.40 : 46,348.20 = 17,744.40 : x
  2. Step 2: Convert to fraction form
    30,866.40/46,348.20 = 17,744.40/x
  3. Step 3: Cross multiply
    30,866.40x = 46,348.20 × 17,744.40
  4. Step 4: Simplify right side
    30,866.40x = 822,421,000.08
  5. Step 5: Solve for x
    x = 822,421,000.08/30,866.40
  6. Step 6: Final answer
    x = 26,644.54

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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.