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Finding the Fourth Proportional to 110,586.60, 165,829.98 and 31,682.76

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Solution

The fourth proportional to 110,586.60, 165,829.98 and 31,682.76 is: 47,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,586.60 : 165,829.98 = 31,682.76 : x
  2. Step 2: Convert to fraction form
    110,586.60/165,829.98 = 31,682.76/x
  3. Step 3: Cross multiply
    110,586.60x = 165,829.98 × 31,682.76
  4. Step 4: Simplify right side
    110,586.60x = 5,253,951,457.14
  5. Step 5: Solve for x
    x = 5,253,951,457.14/110,586.60
  6. Step 6: Final answer
    x = 47,509.84

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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.