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Finding the Fourth Proportional to 81,803, 112,887.96 and 46,001

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Solution

The fourth proportional to 81,803, 112,887.96 and 46,001 is: 63,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,803 : 112,887.96 = 46,001 : x
  2. Step 2: Convert to fraction form
    81,803/112,887.96 = 46,001/x
  3. Step 3: Cross multiply
    81,803x = 112,887.96 × 46,001
  4. Step 4: Simplify right side
    81,803x = 5,192,959,047.96
  5. Step 5: Solve for x
    x = 5,192,959,047.96/81,803
  6. Step 6: Final answer
    x = 63,481.28

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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.