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Finding the Fourth Proportional to 50,692.80, 69,957.90 and 28,032.78

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Solution

The fourth proportional to 50,692.80, 69,957.90 and 28,032.78 is: 38,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,692.80 : 69,957.90 = 28,032.78 : x
  2. Step 2: Convert to fraction form
    50,692.80/69,957.90 = 28,032.78/x
  3. Step 3: Cross multiply
    50,692.80x = 69,957.90 × 28,032.78
  4. Step 4: Simplify right side
    50,692.80x = 1,961,114,419.96
  5. Step 5: Solve for x
    x = 1,961,114,419.96/50,692.80
  6. Step 6: Final answer
    x = 38,686.25

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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.