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Finding the Fourth Proportional to 85,738, 118,318.50 and 48,013.12

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Solution

The fourth proportional to 85,738, 118,318.50 and 48,013.12 is: 66,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,738 : 118,318.50 = 48,013.12 : x
  2. Step 2: Convert to fraction form
    85,738/118,318.50 = 48,013.12/x
  3. Step 3: Cross multiply
    85,738x = 118,318.50 × 48,013.12
  4. Step 4: Simplify right side
    85,738x = 5,680,840,338.72
  5. Step 5: Solve for x
    x = 5,680,840,338.72/85,738
  6. Step 6: Final answer
    x = 66,258.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.