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Finding the Fourth Proportional to 78,434.38, 108,184.72 and 51,568.30

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Solution

The fourth proportional to 78,434.38, 108,184.72 and 51,568.30 is: 71,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,434.38 : 108,184.72 = 51,568.30 : x
  2. Step 2: Convert to fraction form
    78,434.38/108,184.72 = 51,568.30/x
  3. Step 3: Cross multiply
    78,434.38x = 108,184.72 × 51,568.30
  4. Step 4: Simplify right side
    78,434.38x = 5,578,902,096.38
  5. Step 5: Solve for x
    x = 5,578,902,096.38/78,434.38
  6. Step 6: Final answer
    x = 71,128.27

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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.