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Finding the Fourth Proportional to 81,857, 112,962.66 and 46,529

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Solution

The fourth proportional to 81,857, 112,962.66 and 46,529 is: 64,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,857 : 112,962.66 = 46,529 : x
  2. Step 2: Convert to fraction form
    81,857/112,962.66 = 46,529/x
  3. Step 3: Cross multiply
    81,857x = 112,962.66 × 46,529
  4. Step 4: Simplify right side
    81,857x = 5,256,039,607.14
  5. Step 5: Solve for x
    x = 5,256,039,607.14/81,857
  6. Step 6: Final answer
    x = 64,210.02

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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.