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Finding the Fourth Proportional to 116,473.72, 174,749.46 and 46,334.20

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Solution

The fourth proportional to 116,473.72, 174,749.46 and 46,334.20 is: 69,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,473.72 : 174,749.46 = 46,334.20 : x
  2. Step 2: Convert to fraction form
    116,473.72/174,749.46 = 46,334.20/x
  3. Step 3: Cross multiply
    116,473.72x = 174,749.46 × 46,334.20
  4. Step 4: Simplify right side
    116,473.72x = 8,096,876,429.53
  5. Step 5: Solve for x
    x = 8,096,876,429.53/116,473.72
  6. Step 6: Final answer
    x = 69,516.77

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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.