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Finding the Fourth Proportional to 35,698.96, 49,262.18 and 19,566.09

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Solution

The fourth proportional to 35,698.96, 49,262.18 and 19,566.09 is: 26,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698.96 : 49,262.18 = 19,566.09 : x
  2. Step 2: Convert to fraction form
    35,698.96/49,262.18 = 19,566.09/x
  3. Step 3: Cross multiply
    35,698.96x = 49,262.18 × 19,566.09
  4. Step 4: Simplify right side
    35,698.96x = 963,868,149.65
  5. Step 5: Solve for x
    x = 963,868,149.65/35,698.96
  6. Step 6: Final answer
    x = 26,999.89

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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.