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Finding the Fourth Proportional to 97,694.88, 134,826.18 and 54,678.68

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Solution

The fourth proportional to 97,694.88, 134,826.18 and 54,678.68 is: 75,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,694.88 : 134,826.18 = 54,678.68 : x
  2. Step 2: Convert to fraction form
    97,694.88/134,826.18 = 54,678.68/x
  3. Step 3: Cross multiply
    97,694.88x = 134,826.18 × 54,678.68
  4. Step 4: Simplify right side
    97,694.88x = 7,372,117,551.84
  5. Step 5: Solve for x
    x = 7,372,117,551.84/97,694.88
  6. Step 6: Final answer
    x = 75,460.63

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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.