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Finding the Fourth Proportional to 31,880.64, 47,821.20 and 11,104.08

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Solution

The fourth proportional to 31,880.64, 47,821.20 and 11,104.08 is: 16,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,880.64 : 47,821.20 = 11,104.08 : x
  2. Step 2: Convert to fraction form
    31,880.64/47,821.20 = 11,104.08/x
  3. Step 3: Cross multiply
    31,880.64x = 47,821.20 × 11,104.08
  4. Step 4: Simplify right side
    31,880.64x = 531,010,430.50
  5. Step 5: Solve for x
    x = 531,010,430.50/31,880.64
  6. Step 6: Final answer
    x = 16,656.20

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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.