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Finding the Fourth Proportional to 97,486.46, 146,199.90 and 41,325.50

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Solution

The fourth proportional to 97,486.46, 146,199.90 and 41,325.50 is: 61,975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,486.46 : 146,199.90 = 41,325.50 : x
  2. Step 2: Convert to fraction form
    97,486.46/146,199.90 = 41,325.50/x
  3. Step 3: Cross multiply
    97,486.46x = 146,199.90 × 41,325.50
  4. Step 4: Simplify right side
    97,486.46x = 6,041,783,967.45
  5. Step 5: Solve for x
    x = 6,041,783,967.45/97,486.46
  6. Step 6: Final answer
    x = 61,975.62

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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.