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Finding the Fourth Proportional to 110,431.88, 165,597.90 and 31,527.32

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Solution

The fourth proportional to 110,431.88, 165,597.90 and 31,527.32 is: 47,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,431.88 : 165,597.90 = 31,527.32 : x
  2. Step 2: Convert to fraction form
    110,431.88/165,597.90 = 31,527.32/x
  3. Step 3: Cross multiply
    110,431.88x = 165,597.90 × 31,527.32
  4. Step 4: Simplify right side
    110,431.88x = 5,220,857,984.63
  5. Step 5: Solve for x
    x = 5,220,857,984.63/110,431.88
  6. Step 6: Final answer
    x = 47,276.73

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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.