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Finding the Fourth Proportional to 97,370.97, 134,378.15 and 54,914.01

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Solution

The fourth proportional to 97,370.97, 134,378.15 and 54,914.01 is: 75,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,370.97 : 134,378.15 = 54,914.01 : x
  2. Step 2: Convert to fraction form
    97,370.97/134,378.15 = 54,914.01/x
  3. Step 3: Cross multiply
    97,370.97x = 134,378.15 × 54,914.01
  4. Step 4: Simplify right side
    97,370.97x = 7,379,243,072.88
  5. Step 5: Solve for x
    x = 7,379,243,072.88/97,370.97
  6. Step 6: Final answer
    x = 75,784.84

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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.