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Finding the Fourth Proportional to 85,133.92, 127,695.12 and 32,548.72

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Solution

The fourth proportional to 85,133.92, 127,695.12 and 32,548.72 is: 48,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,133.92 : 127,695.12 = 32,548.72 : x
  2. Step 2: Convert to fraction form
    85,133.92/127,695.12 = 32,548.72/x
  3. Step 3: Cross multiply
    85,133.92x = 127,695.12 × 32,548.72
  4. Step 4: Simplify right side
    85,133.92x = 4,156,312,706.25
  5. Step 5: Solve for x
    x = 4,156,312,706.25/85,133.92
  6. Step 6: Final answer
    x = 48,820.88

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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.