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Finding the Fourth Proportional to 107,805.44, 161,730.56 and 45,476.48

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Solution

The fourth proportional to 107,805.44, 161,730.56 and 45,476.48 is: 68,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,805.44 : 161,730.56 = 45,476.48 : x
  2. Step 2: Convert to fraction form
    107,805.44/161,730.56 = 45,476.48/x
  3. Step 3: Cross multiply
    107,805.44x = 161,730.56 × 45,476.48
  4. Step 4: Simplify right side
    107,805.44x = 7,354,936,577.23
  5. Step 5: Solve for x
    x = 7,354,936,577.23/107,805.44
  6. Step 6: Final answer
    x = 68,224.17

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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.