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Finding the Fourth Proportional to 55,982.80, 83,974.20 and 48,692.80

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Solution

The fourth proportional to 55,982.80, 83,974.20 and 48,692.80 is: 73,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,982.80 : 83,974.20 = 48,692.80 : x
  2. Step 2: Convert to fraction form
    55,982.80/83,974.20 = 48,692.80/x
  3. Step 3: Cross multiply
    55,982.80x = 83,974.20 × 48,692.80
  4. Step 4: Simplify right side
    55,982.80x = 4,088,938,925.76
  5. Step 5: Solve for x
    x = 4,088,938,925.76/55,982.80
  6. Step 6: Final answer
    x = 73,039.20

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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.