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Finding the Fourth Proportional to 97,328.90, 145,912.35 and 41,212.10

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Solution

The fourth proportional to 97,328.90, 145,912.35 and 41,212.10 is: 61,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,328.90 : 145,912.35 = 41,212.10 : x
  2. Step 2: Convert to fraction form
    97,328.90/145,912.35 = 41,212.10/x
  3. Step 3: Cross multiply
    97,328.90x = 145,912.35 × 41,212.10
  4. Step 4: Simplify right side
    97,328.90x = 6,013,354,359.44
  5. Step 5: Solve for x
    x = 6,013,354,359.44/97,328.90
  6. Step 6: Final answer
    x = 61,783.85

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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.