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Finding the Fourth Proportional to 84,378, 116,442.99 and 46,652.25

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Solution

The fourth proportional to 84,378, 116,442.99 and 46,652.25 is: 64,380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,378 : 116,442.99 = 46,652.25 : x
  2. Step 2: Convert to fraction form
    84,378/116,442.99 = 46,652.25/x
  3. Step 3: Cross multiply
    84,378x = 116,442.99 × 46,652.25
  4. Step 4: Simplify right side
    84,378x = 5,432,327,480.23
  5. Step 5: Solve for x
    x = 5,432,327,480.23/84,378
  6. Step 6: Final answer
    x = 64,380.85

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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.