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Finding the Fourth Proportional to 85,682.30, 128,559 and 52,403.54

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Solution

The fourth proportional to 85,682.30, 128,559 and 52,403.54 is: 78,627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,682.30 : 128,559 = 52,403.54 : x
  2. Step 2: Convert to fraction form
    85,682.30/128,559 = 52,403.54/x
  3. Step 3: Cross multiply
    85,682.30x = 128,559 × 52,403.54
  4. Step 4: Simplify right side
    85,682.30x = 6,736,946,698.86
  5. Step 5: Solve for x
    x = 6,736,946,698.86/85,682.30
  6. Step 6: Final answer
    x = 78,627.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.