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Finding the Fourth Proportional to 31,894.56, 47,852.10 and 9,712.22

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Solution

The fourth proportional to 31,894.56, 47,852.10 and 9,712.22 is: 14,571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.56 : 47,852.10 = 9,712.22 : x
  2. Step 2: Convert to fraction form
    31,894.56/47,852.10 = 9,712.22/x
  3. Step 3: Cross multiply
    31,894.56x = 47,852.10 × 9,712.22
  4. Step 4: Simplify right side
    31,894.56x = 464,750,122.66
  5. Step 5: Solve for x
    x = 464,750,122.66/31,894.56
  6. Step 6: Final answer
    x = 14,571.45

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1.5x scale

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.