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Finding the Fourth Proportional to 110,539.81, 165,809.17 and 31,654

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Solution

The fourth proportional to 110,539.81, 165,809.17 and 31,654 is: 47,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,539.81 : 165,809.17 = 31,654 : x
  2. Step 2: Convert to fraction form
    110,539.81/165,809.17 = 31,654/x
  3. Step 3: Cross multiply
    110,539.81x = 165,809.17 × 31,654
  4. Step 4: Simplify right side
    110,539.81x = 5,248,523,467.18
  5. Step 5: Solve for x
    x = 5,248,523,467.18/110,539.81
  6. Step 6: Final answer
    x = 47,480.84

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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.