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Finding the Fourth Proportional to 98,735.36, 148,072.32 and 33,056

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Solution

The fourth proportional to 98,735.36, 148,072.32 and 33,056 is: 49,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,735.36 : 148,072.32 = 33,056 : x
  2. Step 2: Convert to fraction form
    98,735.36/148,072.32 = 33,056/x
  3. Step 3: Cross multiply
    98,735.36x = 148,072.32 × 33,056
  4. Step 4: Simplify right side
    98,735.36x = 4,894,678,609.92
  5. Step 5: Solve for x
    x = 4,894,678,609.92/98,735.36
  6. Step 6: Final answer
    x = 49,573.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.