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Finding the Fourth Proportional to 47,509.15, 71,266.02 and 12,448.84

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Solution

The fourth proportional to 47,509.15, 71,266.02 and 12,448.84 is: 18,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,509.15 : 71,266.02 = 12,448.84 : x
  2. Step 2: Convert to fraction form
    47,509.15/71,266.02 = 12,448.84/x
  3. Step 3: Cross multiply
    47,509.15x = 71,266.02 × 12,448.84
  4. Step 4: Simplify right side
    47,509.15x = 887,179,280.42
  5. Step 5: Solve for x
    x = 887,179,280.42/47,509.15
  6. Step 6: Final answer
    x = 18,673.86

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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.