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Finding the Fourth Proportional to 85,301.94, 127,969.32 and 32,707.34

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Solution

The fourth proportional to 85,301.94, 127,969.32 and 32,707.34 is: 49,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,301.94 : 127,969.32 = 32,707.34 : x
  2. Step 2: Convert to fraction form
    85,301.94/127,969.32 = 32,707.34/x
  3. Step 3: Cross multiply
    85,301.94x = 127,969.32 × 32,707.34
  4. Step 4: Simplify right side
    85,301.94x = 4,185,536,058.81
  5. Step 5: Solve for x
    x = 4,185,536,058.81/85,301.94
  6. Step 6: Final answer
    x = 49,067.30

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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.