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Finding the Fourth Proportional to 81,854.67, 112,947.03 and 46,053.48

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Solution

The fourth proportional to 81,854.67, 112,947.03 and 46,053.48 is: 63,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,854.67 : 112,947.03 = 46,053.48 : x
  2. Step 2: Convert to fraction form
    81,854.67/112,947.03 = 46,053.48/x
  3. Step 3: Cross multiply
    81,854.67x = 112,947.03 × 46,053.48
  4. Step 4: Simplify right side
    81,854.67x = 5,201,603,787.16
  5. Step 5: Solve for x
    x = 5,201,603,787.16/81,854.67
  6. Step 6: Final answer
    x = 63,546.82

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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.