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Finding the Fourth Proportional to 97,447.76, 146,181.19 and 40,509.89

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Solution

The fourth proportional to 97,447.76, 146,181.19 and 40,509.89 is: 60,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,447.76 : 146,181.19 = 40,509.89 : x
  2. Step 2: Convert to fraction form
    97,447.76/146,181.19 = 40,509.89/x
  3. Step 3: Cross multiply
    97,447.76x = 146,181.19 × 40,509.89
  4. Step 4: Simplify right side
    97,447.76x = 5,921,783,460.24
  5. Step 5: Solve for x
    x = 5,921,783,460.24/97,447.76
  6. Step 6: Final answer
    x = 60,768.80

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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.