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Finding the Fourth Proportional to 30,223.98, 41,714.04 and 25,180.20

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Solution

The fourth proportional to 30,223.98, 41,714.04 and 25,180.20 is: 34,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.98 : 41,714.04 = 25,180.20 : x
  2. Step 2: Convert to fraction form
    30,223.98/41,714.04 = 25,180.20/x
  3. Step 3: Cross multiply
    30,223.98x = 41,714.04 × 25,180.20
  4. Step 4: Simplify right side
    30,223.98x = 1,050,367,870.01
  5. Step 5: Solve for x
    x = 1,050,367,870.01/30,223.98
  6. Step 6: Final answer
    x = 34,752.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.