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Finding the Fourth Proportional to 35,675.80, 49,234.38 and 20,570.92

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Solution

The fourth proportional to 35,675.80, 49,234.38 and 20,570.92 is: 28,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675.80 : 49,234.38 = 20,570.92 : x
  2. Step 2: Convert to fraction form
    35,675.80/49,234.38 = 20,570.92/x
  3. Step 3: Cross multiply
    35,675.80x = 49,234.38 × 20,570.92
  4. Step 4: Simplify right side
    35,675.80x = 1,012,796,492.23
  5. Step 5: Solve for x
    x = 1,012,796,492.23/35,675.80
  6. Step 6: Final answer
    x = 28,388.89

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Why These Related Problems?

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