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Finding the Fourth Proportional to 35,686.98, 49,245.57 and 19,769.94

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Solution

The fourth proportional to 35,686.98, 49,245.57 and 19,769.94 is: 27,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,686.98 : 49,245.57 = 19,769.94 : x
  2. Step 2: Convert to fraction form
    35,686.98/49,245.57 = 19,769.94/x
  3. Step 3: Cross multiply
    35,686.98x = 49,245.57 × 19,769.94
  4. Step 4: Simplify right side
    35,686.98x = 973,581,964.17
  5. Step 5: Solve for x
    x = 973,581,964.17/35,686.98
  6. Step 6: Final answer
    x = 27,281.15

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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.