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Finding the Fourth Proportional to 37,897.84, 52,298.99 and 20,903.18

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Solution

The fourth proportional to 37,897.84, 52,298.99 and 20,903.18 is: 28,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,897.84 : 52,298.99 = 20,903.18 : x
  2. Step 2: Convert to fraction form
    37,897.84/52,298.99 = 20,903.18/x
  3. Step 3: Cross multiply
    37,897.84x = 52,298.99 × 20,903.18
  4. Step 4: Simplify right side
    37,897.84x = 1,093,215,201.79
  5. Step 5: Solve for x
    x = 1,093,215,201.79/37,897.84
  6. Step 6: Final answer
    x = 28,846.38

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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.