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Finding the Fourth Proportional to 78,373.31, 108,188.24 and 52,914.14

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Solution

The fourth proportional to 78,373.31, 108,188.24 and 52,914.14 is: 73,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,373.31 : 108,188.24 = 52,914.14 : x
  2. Step 2: Convert to fraction form
    78,373.31/108,188.24 = 52,914.14/x
  3. Step 3: Cross multiply
    78,373.31x = 108,188.24 × 52,914.14
  4. Step 4: Simplify right side
    78,373.31x = 5,724,686,872.20
  5. Step 5: Solve for x
    x = 5,724,686,872.20/78,373.31
  6. Step 6: Final answer
    x = 73,043.84

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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.