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Finding the Fourth Proportional to 99,367.72, 148,906.68 and 46,076

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Solution

The fourth proportional to 99,367.72, 148,906.68 and 46,076 is: 69,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,367.72 : 148,906.68 = 46,076 : x
  2. Step 2: Convert to fraction form
    99,367.72/148,906.68 = 46,076/x
  3. Step 3: Cross multiply
    99,367.72x = 148,906.68 × 46,076
  4. Step 4: Simplify right side
    99,367.72x = 6,861,024,187.68
  5. Step 5: Solve for x
    x = 6,861,024,187.68/99,367.72
  6. Step 6: Final answer
    x = 69,046.81

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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.