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Finding the Fourth Proportional to 31,595.94, 47,383.68 and 16,796.40

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Solution

The fourth proportional to 31,595.94, 47,383.68 and 16,796.40 is: 25,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595.94 : 47,383.68 = 16,796.40 : x
  2. Step 2: Convert to fraction form
    31,595.94/47,383.68 = 16,796.40/x
  3. Step 3: Cross multiply
    31,595.94x = 47,383.68 × 16,796.40
  4. Step 4: Simplify right side
    31,595.94x = 795,875,242.75
  5. Step 5: Solve for x
    x = 795,875,242.75/31,595.94
  6. Step 6: Final answer
    x = 25,189.16

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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.