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Finding the Fourth Proportional to 81,846.78, 112,947.44 and 46,036.78

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Solution

The fourth proportional to 81,846.78, 112,947.44 and 46,036.78 is: 63,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,846.78 : 112,947.44 = 46,036.78 : x
  2. Step 2: Convert to fraction form
    81,846.78/112,947.44 = 46,036.78/x
  3. Step 3: Cross multiply
    81,846.78x = 112,947.44 × 46,036.78
  4. Step 4: Simplify right side
    81,846.78x = 5,199,736,446.84
  5. Step 5: Solve for x
    x = 5,199,736,446.84/81,846.78
  6. Step 6: Final answer
    x = 63,530.13

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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.