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Finding the Fourth Proportional to 97,499.92, 146,219.64 and 35,162.32

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Solution

The fourth proportional to 97,499.92, 146,219.64 and 35,162.32 is: 52,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,499.92 : 146,219.64 = 35,162.32 : x
  2. Step 2: Convert to fraction form
    97,499.92/146,219.64 = 35,162.32/x
  3. Step 3: Cross multiply
    97,499.92x = 146,219.64 × 35,162.32
  4. Step 4: Simplify right side
    97,499.92x = 5,141,421,771.96
  5. Step 5: Solve for x
    x = 5,141,421,771.96/97,499.92
  6. Step 6: Final answer
    x = 52,732.57

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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.