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Finding the Fourth Proportional to 84,203.48, 116,203.64 and 45,965.30

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Solution

The fourth proportional to 84,203.48, 116,203.64 and 45,965.30 is: 63,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,203.48 : 116,203.64 = 45,965.30 : x
  2. Step 2: Convert to fraction form
    84,203.48/116,203.64 = 45,965.30/x
  3. Step 3: Cross multiply
    84,203.48x = 116,203.64 × 45,965.30
  4. Step 4: Simplify right side
    84,203.48x = 5,341,334,362.85
  5. Step 5: Solve for x
    x = 5,341,334,362.85/84,203.48
  6. Step 6: Final answer
    x = 63,433.65

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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.