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Finding the Fourth Proportional to 85,047.96, 127,566.82 and 37,649.18

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Solution

The fourth proportional to 85,047.96, 127,566.82 and 37,649.18 is: 56,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,047.96 : 127,566.82 = 37,649.18 : x
  2. Step 2: Convert to fraction form
    85,047.96/127,566.82 = 37,649.18/x
  3. Step 3: Cross multiply
    85,047.96x = 127,566.82 × 37,649.18
  4. Step 4: Simplify right side
    85,047.96x = 4,802,786,168.21
  5. Step 5: Solve for x
    x = 4,802,786,168.21/85,047.96
  6. Step 6: Final answer
    x = 56,471.50

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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.