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Finding the Fourth Proportional to 84,256.56, 116,272.44 and 46,530

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Solution

The fourth proportional to 84,256.56, 116,272.44 and 46,530 is: 64,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,256.56 : 116,272.44 = 46,530 : x
  2. Step 2: Convert to fraction form
    84,256.56/116,272.44 = 46,530/x
  3. Step 3: Cross multiply
    84,256.56x = 116,272.44 × 46,530
  4. Step 4: Simplify right side
    84,256.56x = 5,410,156,633.20
  5. Step 5: Solve for x
    x = 5,410,156,633.20/84,256.56
  6. Step 6: Final answer
    x = 64,210.51

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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.