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Finding the Fourth Proportional to 37,214.64, 51,356.28 and 20,218.74

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Solution

The fourth proportional to 37,214.64, 51,356.28 and 20,218.74 is: 27,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,214.64 : 51,356.28 = 20,218.74 : x
  2. Step 2: Convert to fraction form
    37,214.64/51,356.28 = 20,218.74/x
  3. Step 3: Cross multiply
    37,214.64x = 51,356.28 × 20,218.74
  4. Step 4: Simplify right side
    37,214.64x = 1,038,359,272.69
  5. Step 5: Solve for x
    x = 1,038,359,272.69/37,214.64
  6. Step 6: Final answer
    x = 27,901.90

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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.