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Finding the Fourth Proportional to 37,142.80, 55,714.32 and 9,440.80

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Solution

The fourth proportional to 37,142.80, 55,714.32 and 9,440.80 is: 14,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.80 : 55,714.32 = 9,440.80 : x
  2. Step 2: Convert to fraction form
    37,142.80/55,714.32 = 9,440.80/x
  3. Step 3: Cross multiply
    37,142.80x = 55,714.32 × 9,440.80
  4. Step 4: Simplify right side
    37,142.80x = 525,987,752.26
  5. Step 5: Solve for x
    x = 525,987,752.26/37,142.80
  6. Step 6: Final answer
    x = 14,161.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.