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Finding the Fourth Proportional to 97,495.46, 146,243.23 and 35,165.96

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Solution

The fourth proportional to 97,495.46, 146,243.23 and 35,165.96 is: 52,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,495.46 : 146,243.23 = 35,165.96 : x
  2. Step 2: Convert to fraction form
    97,495.46/146,243.23 = 35,165.96/x
  3. Step 3: Cross multiply
    97,495.46x = 146,243.23 × 35,165.96
  4. Step 4: Simplify right side
    97,495.46x = 5,142,783,576.45
  5. Step 5: Solve for x
    x = 5,142,783,576.45/97,495.46
  6. Step 6: Final answer
    x = 52,748.95

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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.