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Finding the Fourth Proportional to 31,783.45, 47,675.58 and 21,920.08

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Solution

The fourth proportional to 31,783.45, 47,675.58 and 21,920.08 is: 32,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.45 : 47,675.58 = 21,920.08 : x
  2. Step 2: Convert to fraction form
    31,783.45/47,675.58 = 21,920.08/x
  3. Step 3: Cross multiply
    31,783.45x = 47,675.58 × 21,920.08
  4. Step 4: Simplify right side
    31,783.45x = 1,045,052,527.65
  5. Step 5: Solve for x
    x = 1,045,052,527.65/31,783.45
  6. Step 6: Final answer
    x = 32,880.40

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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.