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Finding the Fourth Proportional to 85,309.52, 127,965.10 and 32,706.50

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Solution

The fourth proportional to 85,309.52, 127,965.10 and 32,706.50 is: 49,060.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,309.52 : 127,965.10 = 32,706.50 : x
  2. Step 2: Convert to fraction form
    85,309.52/127,965.10 = 32,706.50/x
  3. Step 3: Cross multiply
    85,309.52x = 127,965.10 × 32,706.50
  4. Step 4: Simplify right side
    85,309.52x = 4,185,290,543.15
  5. Step 5: Solve for x
    x = 4,185,290,543.15/85,309.52
  6. Step 6: Final answer
    x = 49,060.06

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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.