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Finding the Fourth Proportional to 98,164, 135,466.32 and 53,452

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Solution

The fourth proportional to 98,164, 135,466.32 and 53,452 is: 73,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,164 : 135,466.32 = 53,452 : x
  2. Step 2: Convert to fraction form
    98,164/135,466.32 = 53,452/x
  3. Step 3: Cross multiply
    98,164x = 135,466.32 × 53,452
  4. Step 4: Simplify right side
    98,164x = 7,240,945,736.64
  5. Step 5: Solve for x
    x = 7,240,945,736.64/98,164
  6. Step 6: Final answer
    x = 73,763.76

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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.