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Finding the Fourth Proportional to 37,692.32, 52,012.80 and 20,924

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Solution

The fourth proportional to 37,692.32, 52,012.80 and 20,924 is: 28,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,692.32 : 52,012.80 = 20,924 : x
  2. Step 2: Convert to fraction form
    37,692.32/52,012.80 = 20,924/x
  3. Step 3: Cross multiply
    37,692.32x = 52,012.80 × 20,924
  4. Step 4: Simplify right side
    37,692.32x = 1,088,315,827.20
  5. Step 5: Solve for x
    x = 1,088,315,827.20/37,692.32
  6. Step 6: Final answer
    x = 28,873.68

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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.