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Finding the Fourth Proportional to 31,504.32, 47,267.20 and 19,803.84

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Solution

The fourth proportional to 31,504.32, 47,267.20 and 19,803.84 is: 29,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,504.32 : 47,267.20 = 19,803.84 : x
  2. Step 2: Convert to fraction form
    31,504.32/47,267.20 = 19,803.84/x
  3. Step 3: Cross multiply
    31,504.32x = 47,267.20 × 19,803.84
  4. Step 4: Simplify right side
    31,504.32x = 936,072,066.05
  5. Step 5: Solve for x
    x = 936,072,066.05/31,504.32
  6. Step 6: Final answer
    x = 29,712.50

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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.