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Finding the Fourth Proportional to 97,635.78, 146,464.47 and 31,052.57

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Solution

The fourth proportional to 97,635.78, 146,464.47 and 31,052.57 is: 46,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,635.78 : 146,464.47 = 31,052.57 : x
  2. Step 2: Convert to fraction form
    97,635.78/146,464.47 = 31,052.57/x
  3. Step 3: Cross multiply
    97,635.78x = 146,464.47 × 31,052.57
  4. Step 4: Simplify right side
    97,635.78x = 4,548,097,474.87
  5. Step 5: Solve for x
    x = 4,548,097,474.87/97,635.78
  6. Step 6: Final answer
    x = 46,582.28

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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.