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Finding the Fourth Proportional to 55,692.93, 83,488.23 and 24,083.22

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Solution

The fourth proportional to 55,692.93, 83,488.23 and 24,083.22 is: 36,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,692.93 : 83,488.23 = 24,083.22 : x
  2. Step 2: Convert to fraction form
    55,692.93/83,488.23 = 24,083.22/x
  3. Step 3: Cross multiply
    55,692.93x = 83,488.23 × 24,083.22
  4. Step 4: Simplify right side
    55,692.93x = 2,010,665,410.50
  5. Step 5: Solve for x
    x = 2,010,665,410.50/55,692.93
  6. Step 6: Final answer
    x = 36,102.70

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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.