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Finding the Fourth Proportional to 84,262, 116,280.60 and 48,452.16

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Solution

The fourth proportional to 84,262, 116,280.60 and 48,452.16 is: 66,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,262 : 116,280.60 = 48,452.16 : x
  2. Step 2: Convert to fraction form
    84,262/116,280.60 = 48,452.16/x
  3. Step 3: Cross multiply
    84,262x = 116,280.60 × 48,452.16
  4. Step 4: Simplify right side
    84,262x = 5,634,046,236.10
  5. Step 5: Solve for x
    x = 5,634,046,236.10/84,262
  6. Step 6: Final answer
    x = 66,863.43

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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.