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Finding the Fourth Proportional to 54,751.86, 75,531.25 and 32,076.77

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Solution

The fourth proportional to 54,751.86, 75,531.25 and 32,076.77 is: 44,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,751.86 : 75,531.25 = 32,076.77 : x
  2. Step 2: Convert to fraction form
    54,751.86/75,531.25 = 32,076.77/x
  3. Step 3: Cross multiply
    54,751.86x = 75,531.25 × 32,076.77
  4. Step 4: Simplify right side
    54,751.86x = 2,422,798,534.06
  5. Step 5: Solve for x
    x = 2,422,798,534.06/54,751.86
  6. Step 6: Final answer
    x = 44,250.52

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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.