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Finding the Fourth Proportional to 98,084, 135,355.92 and 53,372

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Solution

The fourth proportional to 98,084, 135,355.92 and 53,372 is: 73,653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,084 : 135,355.92 = 53,372 : x
  2. Step 2: Convert to fraction form
    98,084/135,355.92 = 53,372/x
  3. Step 3: Cross multiply
    98,084x = 135,355.92 × 53,372
  4. Step 4: Simplify right side
    98,084x = 7,224,216,162.24
  5. Step 5: Solve for x
    x = 7,224,216,162.24/98,084
  6. Step 6: Final answer
    x = 73,653.36

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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.