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Finding the Fourth Proportional to 85,161.72, 127,742.57 and 32,587.32

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Solution

The fourth proportional to 85,161.72, 127,742.57 and 32,587.32 is: 48,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,161.72 : 127,742.57 = 32,587.32 : x
  2. Step 2: Convert to fraction form
    85,161.72/127,742.57 = 32,587.32/x
  3. Step 3: Cross multiply
    85,161.72x = 127,742.57 × 32,587.32
  4. Step 4: Simplify right side
    85,161.72x = 4,162,788,006.21
  5. Step 5: Solve for x
    x = 4,162,788,006.21/85,161.72
  6. Step 6: Final answer
    x = 48,880.98

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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.