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Finding the Fourth Proportional to 47,974.76, 71,962.13 and 12,913.50

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Solution

The fourth proportional to 47,974.76, 71,962.13 and 12,913.50 is: 19,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,974.76 : 71,962.13 = 12,913.50 : x
  2. Step 2: Convert to fraction form
    47,974.76/71,962.13 = 12,913.50/x
  3. Step 3: Cross multiply
    47,974.76x = 71,962.13 × 12,913.50
  4. Step 4: Simplify right side
    47,974.76x = 929,282,998.04
  5. Step 5: Solve for x
    x = 929,282,998.04/47,974.76
  6. Step 6: Final answer
    x = 19,370.25

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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.