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Finding the Fourth Proportional to 81,973.80, 123,075.90 and 50,869.80

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Solution

The fourth proportional to 81,973.80, 123,075.90 and 50,869.80 is: 76,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,973.80 : 123,075.90 = 50,869.80 : x
  2. Step 2: Convert to fraction form
    81,973.80/123,075.90 = 50,869.80/x
  3. Step 3: Cross multiply
    81,973.80x = 123,075.90 × 50,869.80
  4. Step 4: Simplify right side
    81,973.80x = 6,260,846,417.82
  5. Step 5: Solve for x
    x = 6,260,846,417.82/81,973.80
  6. Step 6: Final answer
    x = 76,376.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.