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Finding the Fourth Proportional to 97,640.25, 134,743.56 and 52,928.25

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Solution

The fourth proportional to 97,640.25, 134,743.56 and 52,928.25 is: 73,040.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,640.25 : 134,743.56 = 52,928.25 : x
  2. Step 2: Convert to fraction form
    97,640.25/134,743.56 = 52,928.25/x
  3. Step 3: Cross multiply
    97,640.25x = 134,743.56 × 52,928.25
  4. Step 4: Simplify right side
    97,640.25x = 7,131,740,829.57
  5. Step 5: Solve for x
    x = 7,131,740,829.57/97,640.25
  6. Step 6: Final answer
    x = 73,040.99

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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.