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Finding the Fourth Proportional to 81,853.17, 112,944.98 and 46,051.98

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Solution

The fourth proportional to 81,853.17, 112,944.98 and 46,051.98 is: 63,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,853.17 : 112,944.98 = 46,051.98 : x
  2. Step 2: Convert to fraction form
    81,853.17/112,944.98 = 46,051.98/x
  3. Step 3: Cross multiply
    81,853.17x = 112,944.98 × 46,051.98
  4. Step 4: Simplify right side
    81,853.17x = 5,201,339,729.80
  5. Step 5: Solve for x
    x = 5,201,339,729.80/81,853.17
  6. Step 6: Final answer
    x = 63,544.76

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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.