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Finding the Fourth Proportional to 31,777.92, 47,632.32 and 13,288.32

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Solution

The fourth proportional to 31,777.92, 47,632.32 and 13,288.32 is: 19,918.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.92 : 47,632.32 = 13,288.32 : x
  2. Step 2: Convert to fraction form
    31,777.92/47,632.32 = 13,288.32/x
  3. Step 3: Cross multiply
    31,777.92x = 47,632.32 × 13,288.32
  4. Step 4: Simplify right side
    31,777.92x = 632,953,510.50
  5. Step 5: Solve for x
    x = 632,953,510.50/31,777.92
  6. Step 6: Final answer
    x = 19,918.03

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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.