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Finding the Fourth Proportional to 84,643.43, 116,804.80 and 45,880.42

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Solution

The fourth proportional to 84,643.43, 116,804.80 and 45,880.42 is: 63,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,643.43 : 116,804.80 = 45,880.42 : x
  2. Step 2: Convert to fraction form
    84,643.43/116,804.80 = 45,880.42/x
  3. Step 3: Cross multiply
    84,643.43x = 116,804.80 × 45,880.42
  4. Step 4: Simplify right side
    84,643.43x = 5,359,052,769.60
  5. Step 5: Solve for x
    x = 5,359,052,769.60/84,643.43
  6. Step 6: Final answer
    x = 63,313.28

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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.