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Finding the Fourth Proportional to 47,047.46, 64,898.08 and 30,280.46

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Solution

The fourth proportional to 47,047.46, 64,898.08 and 30,280.46 is: 41,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,047.46 : 64,898.08 = 30,280.46 : x
  2. Step 2: Convert to fraction form
    47,047.46/64,898.08 = 30,280.46/x
  3. Step 3: Cross multiply
    47,047.46x = 64,898.08 × 30,280.46
  4. Step 4: Simplify right side
    47,047.46x = 1,965,143,315.33
  5. Step 5: Solve for x
    x = 1,965,143,315.33/47,047.46
  6. Step 6: Final answer
    x = 41,769.39

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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.