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Finding the Fourth Proportional to 31,712.80, 47,569.20 and 29,768.80

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Solution

The fourth proportional to 31,712.80, 47,569.20 and 29,768.80 is: 44,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.80 : 47,569.20 = 29,768.80 : x
  2. Step 2: Convert to fraction form
    31,712.80/47,569.20 = 29,768.80/x
  3. Step 3: Cross multiply
    31,712.80x = 47,569.20 × 29,768.80
  4. Step 4: Simplify right side
    31,712.80x = 1,416,078,000.96
  5. Step 5: Solve for x
    x = 1,416,078,000.96/31,712.80
  6. Step 6: Final answer
    x = 44,653.20

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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.