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Finding the Fourth Proportional to 49,892.14, 74,773.41 and 20,275.50

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Solution

The fourth proportional to 49,892.14, 74,773.41 and 20,275.50 is: 30,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,892.14 : 74,773.41 = 20,275.50 : x
  2. Step 2: Convert to fraction form
    49,892.14/74,773.41 = 20,275.50/x
  3. Step 3: Cross multiply
    49,892.14x = 74,773.41 × 20,275.50
  4. Step 4: Simplify right side
    49,892.14x = 1,516,068,274.46
  5. Step 5: Solve for x
    x = 1,516,068,274.46/49,892.14
  6. Step 6: Final answer
    x = 30,386.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.