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Finding the Fourth Proportional to 85,108.32, 127,670.94 and 32,562

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Solution

The fourth proportional to 85,108.32, 127,670.94 and 32,562 is: 48,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,108.32 : 127,670.94 = 32,562 : x
  2. Step 2: Convert to fraction form
    85,108.32/127,670.94 = 32,562/x
  3. Step 3: Cross multiply
    85,108.32x = 127,670.94 × 32,562
  4. Step 4: Simplify right side
    85,108.32x = 4,157,221,148.28
  5. Step 5: Solve for x
    x = 4,157,221,148.28/85,108.32
  6. Step 6: Final answer
    x = 48,846.24

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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.