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Finding the Fourth Proportional to 56,645.97, 78,149.31 and 32,434

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Solution

The fourth proportional to 56,645.97, 78,149.31 and 32,434 is: 44,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,645.97 : 78,149.31 = 32,434 : x
  2. Step 2: Convert to fraction form
    56,645.97/78,149.31 = 32,434/x
  3. Step 3: Cross multiply
    56,645.97x = 78,149.31 × 32,434
  4. Step 4: Simplify right side
    56,645.97x = 2,534,694,720.54
  5. Step 5: Solve for x
    x = 2,534,694,720.54/56,645.97
  6. Step 6: Final answer
    x = 44,746.25

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