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Finding the Fourth Proportional to 63,202, 94,820.56 and 27,656.96

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Solution

The fourth proportional to 63,202, 94,820.56 and 27,656.96 is: 41,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,202 : 94,820.56 = 27,656.96 : x
  2. Step 2: Convert to fraction form
    63,202/94,820.56 = 27,656.96/x
  3. Step 3: Cross multiply
    63,202x = 94,820.56 × 27,656.96
  4. Step 4: Simplify right side
    63,202x = 2,622,448,435.10
  5. Step 5: Solve for x
    x = 2,622,448,435.10/63,202
  6. Step 6: Final answer
    x = 41,493.12

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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.