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Finding the Fourth Proportional to 83,430.94, 115,134.01 and 45,189.60

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Solution

The fourth proportional to 83,430.94, 115,134.01 and 45,189.60 is: 62,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,430.94 : 115,134.01 = 45,189.60 : x
  2. Step 2: Convert to fraction form
    83,430.94/115,134.01 = 45,189.60/x
  3. Step 3: Cross multiply
    83,430.94x = 115,134.01 × 45,189.60
  4. Step 4: Simplify right side
    83,430.94x = 5,202,859,313.57
  5. Step 5: Solve for x
    x = 5,202,859,313.57/83,430.94
  6. Step 6: Final answer
    x = 62,361.27

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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.