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Finding the Fourth Proportional to 77,349, 116,005.24 and 43,629.48

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Solution

The fourth proportional to 77,349, 116,005.24 and 43,629.48 is: 65,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,349 : 116,005.24 = 43,629.48 : x
  2. Step 2: Convert to fraction form
    77,349/116,005.24 = 43,629.48/x
  3. Step 3: Cross multiply
    77,349x = 116,005.24 × 43,629.48
  4. Step 4: Simplify right side
    77,349x = 5,061,248,298.48
  5. Step 5: Solve for x
    x = 5,061,248,298.48/77,349
  6. Step 6: Final answer
    x = 65,433.92

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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.