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Finding the Fourth Proportional to 61,822.80, 92,734.20 and 22,381.20

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Solution

The fourth proportional to 61,822.80, 92,734.20 and 22,381.20 is: 33,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,822.80 : 92,734.20 = 22,381.20 : x
  2. Step 2: Convert to fraction form
    61,822.80/92,734.20 = 22,381.20/x
  3. Step 3: Cross multiply
    61,822.80x = 92,734.20 × 22,381.20
  4. Step 4: Simplify right side
    61,822.80x = 2,075,502,677.04
  5. Step 5: Solve for x
    x = 2,075,502,677.04/61,822.80
  6. Step 6: Final answer
    x = 33,571.80

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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.