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Finding the Fourth Proportional to 85,872.61, 128,820.60 and 29,697.64

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Solution

The fourth proportional to 85,872.61, 128,820.60 and 29,697.64 is: 44,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,872.61 : 128,820.60 = 29,697.64 : x
  2. Step 2: Convert to fraction form
    85,872.61/128,820.60 = 29,697.64/x
  3. Step 3: Cross multiply
    85,872.61x = 128,820.60 × 29,697.64
  4. Step 4: Simplify right side
    85,872.61x = 3,825,667,564.86
  5. Step 5: Solve for x
    x = 3,825,667,564.86/85,872.61
  6. Step 6: Final answer
    x = 44,550.50

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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.