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Finding the Fourth Proportional to 31,708.69, 43,762.66 and 18,277.32

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Solution

The fourth proportional to 31,708.69, 43,762.66 and 18,277.32 is: 25,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,708.69 : 43,762.66 = 18,277.32 : x
  2. Step 2: Convert to fraction form
    31,708.69/43,762.66 = 18,277.32/x
  3. Step 3: Cross multiply
    31,708.69x = 43,762.66 × 18,277.32
  4. Step 4: Simplify right side
    31,708.69x = 799,864,140.87
  5. Step 5: Solve for x
    x = 799,864,140.87/31,708.69
  6. Step 6: Final answer
    x = 25,225.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.