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Finding the Fourth Proportional to 20,835.80, 31,256.74 and 6,044.80

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Solution

The fourth proportional to 20,835.80, 31,256.74 and 6,044.80 is: 9,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,835.80 : 31,256.74 = 6,044.80 : x
  2. Step 2: Convert to fraction form
    20,835.80/31,256.74 = 6,044.80/x
  3. Step 3: Cross multiply
    20,835.80x = 31,256.74 × 6,044.80
  4. Step 4: Simplify right side
    20,835.80x = 188,940,741.95
  5. Step 5: Solve for x
    x = 188,940,741.95/20,835.80
  6. Step 6: Final answer
    x = 9,068.08

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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.