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Finding the Fourth Proportional to 110,390.86, 165,587.84 and 31,505.10

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Solution

The fourth proportional to 110,390.86, 165,587.84 and 31,505.10 is: 47,258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,390.86 : 165,587.84 = 31,505.10 : x
  2. Step 2: Convert to fraction form
    110,390.86/165,587.84 = 31,505.10/x
  3. Step 3: Cross multiply
    110,390.86x = 165,587.84 × 31,505.10
  4. Step 4: Simplify right side
    110,390.86x = 5,216,861,457.98
  5. Step 5: Solve for x
    x = 5,216,861,457.98/110,390.86
  6. Step 6: Final answer
    x = 47,258.09

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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.