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Finding the Fourth Proportional to 85,324.32, 127,985.94 and 45,900

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Solution

The fourth proportional to 85,324.32, 127,985.94 and 45,900 is: 68,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,324.32 : 127,985.94 = 45,900 : x
  2. Step 2: Convert to fraction form
    85,324.32/127,985.94 = 45,900/x
  3. Step 3: Cross multiply
    85,324.32x = 127,985.94 × 45,900
  4. Step 4: Simplify right side
    85,324.32x = 5,874,554,646
  5. Step 5: Solve for x
    x = 5,874,554,646/85,324.32
  6. Step 6: Final answer
    x = 68,849.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.