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Finding the Fourth Proportional to 97,599.96, 146,414.49 and 31,042.26

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Solution

The fourth proportional to 97,599.96, 146,414.49 and 31,042.26 is: 46,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,599.96 : 146,414.49 = 31,042.26 : x
  2. Step 2: Convert to fraction form
    97,599.96/146,414.49 = 31,042.26/x
  3. Step 3: Cross multiply
    97,599.96x = 146,414.49 × 31,042.26
  4. Step 4: Simplify right side
    97,599.96x = 4,545,036,666.35
  5. Step 5: Solve for x
    x = 4,545,036,666.35/97,599.96
  6. Step 6: Final answer
    x = 46,568.02

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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.