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Finding the Fourth Proportional to 46,978.26, 64,856.64 and 29,755.64

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Solution

The fourth proportional to 46,978.26, 64,856.64 and 29,755.64 is: 41,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.26 : 64,856.64 = 29,755.64 : x
  2. Step 2: Convert to fraction form
    46,978.26/64,856.64 = 29,755.64/x
  3. Step 3: Cross multiply
    46,978.26x = 64,856.64 × 29,755.64
  4. Step 4: Simplify right side
    46,978.26x = 1,929,850,507.17
  5. Step 5: Solve for x
    x = 1,929,850,507.17/46,978.26
  6. Step 6: Final answer
    x = 41,079.65

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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.