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Finding the Fourth Proportional to 46,889.52, 64,712.70 and 29,894.38

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Solution

The fourth proportional to 46,889.52, 64,712.70 and 29,894.38 is: 41,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,889.52 : 64,712.70 = 29,894.38 : x
  2. Step 2: Convert to fraction form
    46,889.52/64,712.70 = 29,894.38/x
  3. Step 3: Cross multiply
    46,889.52x = 64,712.70 × 29,894.38
  4. Step 4: Simplify right side
    46,889.52x = 1,934,546,044.63
  5. Step 5: Solve for x
    x = 1,934,546,044.63/46,889.52
  6. Step 6: Final answer
    x = 41,257.54

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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.