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Finding the Fourth Proportional to 31,956.24, 47,914.32 and 9,762.24

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Solution

The fourth proportional to 31,956.24, 47,914.32 and 9,762.24 is: 14,637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,956.24 : 47,914.32 = 9,762.24 : x
  2. Step 2: Convert to fraction form
    31,956.24/47,914.32 = 9,762.24/x
  3. Step 3: Cross multiply
    31,956.24x = 47,914.32 × 9,762.24
  4. Step 4: Simplify right side
    31,956.24x = 467,751,091.28
  5. Step 5: Solve for x
    x = 467,751,091.28/31,956.24
  6. Step 6: Final answer
    x = 14,637.24

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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.