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Finding the Fourth Proportional to 84,188.79, 116,176.88 and 45,947.37

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Solution

The fourth proportional to 84,188.79, 116,176.88 and 45,947.37 is: 63,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,188.79 : 116,176.88 = 45,947.37 : x
  2. Step 2: Convert to fraction form
    84,188.79/116,176.88 = 45,947.37/x
  3. Step 3: Cross multiply
    84,188.79x = 116,176.88 × 45,947.37
  4. Step 4: Simplify right side
    84,188.79x = 5,338,021,861.07
  5. Step 5: Solve for x
    x = 5,338,021,861.07/84,188.79
  6. Step 6: Final answer
    x = 63,405.38

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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.