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Finding the Fourth Proportional to 46,978.49, 64,812.26 and 29,983.34

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Solution

The fourth proportional to 46,978.49, 64,812.26 and 29,983.34 is: 41,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.49 : 64,812.26 = 29,983.34 : x
  2. Step 2: Convert to fraction form
    46,978.49/64,812.26 = 29,983.34/x
  3. Step 3: Cross multiply
    46,978.49x = 64,812.26 × 29,983.34
  4. Step 4: Simplify right side
    46,978.49x = 1,943,287,553.77
  5. Step 5: Solve for x
    x = 1,943,287,553.77/46,978.49
  6. Step 6: Final answer
    x = 41,365.48

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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.