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Finding the Fourth Proportional to 76,741.41, 115,127.75 and 32,368.33

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Solution

The fourth proportional to 76,741.41, 115,127.75 and 32,368.33 is: 48,559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,741.41 : 115,127.75 = 32,368.33 : x
  2. Step 2: Convert to fraction form
    76,741.41/115,127.75 = 32,368.33/x
  3. Step 3: Cross multiply
    76,741.41x = 115,127.75 × 32,368.33
  4. Step 4: Simplify right side
    76,741.41x = 3,726,493,004.16
  5. Step 5: Solve for x
    x = 3,726,493,004.16/76,741.41
  6. Step 6: Final answer
    x = 48,559.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.