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Finding the Fourth Proportional to 97,833.63, 146,816.22 and 34,653.54

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Solution

The fourth proportional to 97,833.63, 146,816.22 and 34,653.54 is: 52,003.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,833.63 : 146,816.22 = 34,653.54 : x
  2. Step 2: Convert to fraction form
    97,833.63/146,816.22 = 34,653.54/x
  3. Step 3: Cross multiply
    97,833.63x = 146,816.22 × 34,653.54
  4. Step 4: Simplify right side
    97,833.63x = 5,087,701,752.42
  5. Step 5: Solve for x
    x = 5,087,701,752.42/97,833.63
  6. Step 6: Final answer
    x = 52,003.61

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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.