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Finding the Fourth Proportional to 107,409.92, 161,114.94 and 40,834.67

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Solution

The fourth proportional to 107,409.92, 161,114.94 and 40,834.67 is: 61,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,409.92 : 161,114.94 = 40,834.67 : x
  2. Step 2: Convert to fraction form
    107,409.92/161,114.94 = 40,834.67/x
  3. Step 3: Cross multiply
    107,409.92x = 161,114.94 × 40,834.67
  4. Step 4: Simplify right side
    107,409.92x = 6,579,074,601.40
  5. Step 5: Solve for x
    x = 6,579,074,601.40/107,409.92
  6. Step 6: Final answer
    x = 61,252.02

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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.