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Finding the Fourth Proportional to 37,897.63, 52,298.02 and 20,903.46

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Solution

The fourth proportional to 37,897.63, 52,298.02 and 20,903.46 is: 28,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,897.63 : 52,298.02 = 20,903.46 : x
  2. Step 2: Convert to fraction form
    37,897.63/52,298.02 = 20,903.46/x
  3. Step 3: Cross multiply
    37,897.63x = 52,298.02 × 20,903.46
  4. Step 4: Simplify right side
    37,897.63x = 1,093,209,203.14
  5. Step 5: Solve for x
    x = 1,093,209,203.14/37,897.63
  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.