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Finding the Fourth Proportional to 79,200.75, 109,386.34 and 52,461.03

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Solution

The fourth proportional to 79,200.75, 109,386.34 and 52,461.03 is: 72,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,200.75 : 109,386.34 = 52,461.03 : x
  2. Step 2: Convert to fraction form
    79,200.75/109,386.34 = 52,461.03/x
  3. Step 3: Cross multiply
    79,200.75x = 109,386.34 × 52,461.03
  4. Step 4: Simplify right side
    79,200.75x = 5,738,520,064.33
  5. Step 5: Solve for x
    x = 5,738,520,064.33/79,200.75
  6. Step 6: Final answer
    x = 72,455.38

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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.