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Finding the Fourth Proportional to 27,852.56, 41,749.68 and 13,049

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Solution

The fourth proportional to 27,852.56, 41,749.68 and 13,049 is: 19,559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852.56 : 41,749.68 = 13,049 : x
  2. Step 2: Convert to fraction form
    27,852.56/41,749.68 = 13,049/x
  3. Step 3: Cross multiply
    27,852.56x = 41,749.68 × 13,049
  4. Step 4: Simplify right side
    27,852.56x = 544,791,574.32
  5. Step 5: Solve for x
    x = 544,791,574.32/27,852.56
  6. Step 6: Final answer
    x = 19,559.84

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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.