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Finding the Fourth Proportional to 37,588.84, 51,870.82 and 20,821.48

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Solution

The fourth proportional to 37,588.84, 51,870.82 and 20,821.48 is: 28,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,588.84 : 51,870.82 = 20,821.48 : x
  2. Step 2: Convert to fraction form
    37,588.84/51,870.82 = 20,821.48/x
  3. Step 3: Cross multiply
    37,588.84x = 51,870.82 × 20,821.48
  4. Step 4: Simplify right side
    37,588.84x = 1,080,027,241.21
  5. Step 5: Solve for x
    x = 1,080,027,241.21/37,588.84
  6. Step 6: Final answer
    x = 28,732.66

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1.5x scale

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.