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Finding the Fourth Proportional to 37,897.29, 52,298.66 and 20,902.28

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Solution

The fourth proportional to 37,897.29, 52,298.66 and 20,902.28 is: 28,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,897.29 : 52,298.66 = 20,902.28 : x
  2. Step 2: Convert to fraction form
    37,897.29/52,298.66 = 20,902.28/x
  3. Step 3: Cross multiply
    37,897.29x = 52,298.66 × 20,902.28
  4. Step 4: Simplify right side
    37,897.29x = 1,093,161,025.71
  5. Step 5: Solve for x
    x = 1,093,161,025.71/37,897.29
  6. Step 6: Final answer
    x = 28,845.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.