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Finding the Fourth Proportional to 81,866.50, 112,974.98 and 46,056.70

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Solution

The fourth proportional to 81,866.50, 112,974.98 and 46,056.70 is: 63,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,866.50 : 112,974.98 = 46,056.70 : x
  2. Step 2: Convert to fraction form
    81,866.50/112,974.98 = 46,056.70/x
  3. Step 3: Cross multiply
    81,866.50x = 112,974.98 × 46,056.70
  4. Step 4: Simplify right side
    81,866.50x = 5,203,254,761.37
  5. Step 5: Solve for x
    x = 5,203,254,761.37/81,866.50
  6. Step 6: Final answer
    x = 63,557.80

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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.