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Finding the Fourth Proportional to 97,796.25, 134,967.38 and 54,775.04

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Solution

The fourth proportional to 97,796.25, 134,967.38 and 54,775.04 is: 75,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,796.25 : 134,967.38 = 54,775.04 : x
  2. Step 2: Convert to fraction form
    97,796.25/134,967.38 = 54,775.04/x
  3. Step 3: Cross multiply
    97,796.25x = 134,967.38 × 54,775.04
  4. Step 4: Simplify right side
    97,796.25x = 7,392,842,689.48
  5. Step 5: Solve for x
    x = 7,392,842,689.48/97,796.25
  6. Step 6: Final answer
    x = 75,594.34

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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.