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Finding the Fourth Proportional to 31,507.98, 47,278.44 and 20,411.79

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Solution

The fourth proportional to 31,507.98, 47,278.44 and 20,411.79 is: 30,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.98 : 47,278.44 = 20,411.79 : x
  2. Step 2: Convert to fraction form
    31,507.98/47,278.44 = 20,411.79/x
  3. Step 3: Cross multiply
    31,507.98x = 47,278.44 × 20,411.79
  4. Step 4: Simplify right side
    31,507.98x = 965,037,588.81
  5. Step 5: Solve for x
    x = 965,037,588.81/31,507.98
  6. Step 6: Final answer
    x = 30,628.35

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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.