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Finding the Fourth Proportional to 85,248, 127,874.16 and 29,844

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Solution

The fourth proportional to 85,248, 127,874.16 and 29,844 is: 44,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,248 : 127,874.16 = 29,844 : x
  2. Step 2: Convert to fraction form
    85,248/127,874.16 = 29,844/x
  3. Step 3: Cross multiply
    85,248x = 127,874.16 × 29,844
  4. Step 4: Simplify right side
    85,248x = 3,816,276,431.04
  5. Step 5: Solve for x
    x = 3,816,276,431.04/85,248
  6. Step 6: Final answer
    x = 44,766.76

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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.