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Finding the Fourth Proportional to 46,691.36, 64,433.02 and 25,471.38

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Solution

The fourth proportional to 46,691.36, 64,433.02 and 25,471.38 is: 35,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,691.36 : 64,433.02 = 25,471.38 : x
  2. Step 2: Convert to fraction form
    46,691.36/64,433.02 = 25,471.38/x
  3. Step 3: Cross multiply
    46,691.36x = 64,433.02 × 25,471.38
  4. Step 4: Simplify right side
    46,691.36x = 1,641,197,936.97
  5. Step 5: Solve for x
    x = 1,641,197,936.97/46,691.36
  6. Step 6: Final answer
    x = 35,149.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.