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Finding the Fourth Proportional to 78,430.38, 108,179.20 and 51,564.30

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Solution

The fourth proportional to 78,430.38, 108,179.20 and 51,564.30 is: 71,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,430.38 : 108,179.20 = 51,564.30 : x
  2. Step 2: Convert to fraction form
    78,430.38/108,179.20 = 51,564.30/x
  3. Step 3: Cross multiply
    78,430.38x = 108,179.20 × 51,564.30
  4. Step 4: Simplify right side
    78,430.38x = 5,578,184,091.29
  5. Step 5: Solve for x
    x = 5,578,184,091.29/78,430.38
  6. Step 6: Final answer
    x = 71,122.75

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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.