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Finding the Fourth Proportional to 37,785.60, 56,678.40 and 20,246.40

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Solution

The fourth proportional to 37,785.60, 56,678.40 and 20,246.40 is: 30,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,785.60 : 56,678.40 = 20,246.40 : x
  2. Step 2: Convert to fraction form
    37,785.60/56,678.40 = 20,246.40/x
  3. Step 3: Cross multiply
    37,785.60x = 56,678.40 × 20,246.40
  4. Step 4: Simplify right side
    37,785.60x = 1,147,533,557.76
  5. Step 5: Solve for x
    x = 1,147,533,557.76/37,785.60
  6. Step 6: Final answer
    x = 30,369.60

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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.