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Finding the Fourth Proportional to 37,147.46, 51,206.60 and 22,780.64

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Solution

The fourth proportional to 37,147.46, 51,206.60 and 22,780.64 is: 31,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,147.46 : 51,206.60 = 22,780.64 : x
  2. Step 2: Convert to fraction form
    37,147.46/51,206.60 = 22,780.64/x
  3. Step 3: Cross multiply
    37,147.46x = 51,206.60 × 22,780.64
  4. Step 4: Simplify right side
    37,147.46x = 1,166,519,305.19
  5. Step 5: Solve for x
    x = 1,166,519,305.19/37,147.46
  6. Step 6: Final answer
    x = 31,402.40

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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.