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Finding the Fourth Proportional to 47,643.81, 71,473.01 and 14,359.56

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Solution

The fourth proportional to 47,643.81, 71,473.01 and 14,359.56 is: 21,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,643.81 : 71,473.01 = 14,359.56 : x
  2. Step 2: Convert to fraction form
    47,643.81/71,473.01 = 14,359.56/x
  3. Step 3: Cross multiply
    47,643.81x = 71,473.01 × 14,359.56
  4. Step 4: Simplify right side
    47,643.81x = 1,026,320,903.68
  5. Step 5: Solve for x
    x = 1,026,320,903.68/47,643.81
  6. Step 6: Final answer
    x = 21,541.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.