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Finding the Fourth Proportional to 83,430.94, 115,142.96 and 47,626.34

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Solution

The fourth proportional to 83,430.94, 115,142.96 and 47,626.34 is: 65,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,430.94 : 115,142.96 = 47,626.34 : x
  2. Step 2: Convert to fraction form
    83,430.94/115,142.96 = 47,626.34/x
  3. Step 3: Cross multiply
    83,430.94x = 115,142.96 × 47,626.34
  4. Step 4: Simplify right side
    83,430.94x = 5,483,836,947.72
  5. Step 5: Solve for x
    x = 5,483,836,947.72/83,430.94
  6. Step 6: Final answer
    x = 65,729.06

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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.