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Finding the Fourth Proportional to 31,525.86, 43,503.54 and 17,378.64

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Solution

The fourth proportional to 31,525.86, 43,503.54 and 17,378.64 is: 23,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525.86 : 43,503.54 = 17,378.64 : x
  2. Step 2: Convert to fraction form
    31,525.86/43,503.54 = 17,378.64/x
  3. Step 3: Cross multiply
    31,525.86x = 43,503.54 × 17,378.64
  4. Step 4: Simplify right side
    31,525.86x = 756,032,360.39
  5. Step 5: Solve for x
    x = 756,032,360.39/31,525.86
  6. Step 6: Final answer
    x = 23,981.34

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