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Finding the Fourth Proportional to 110,420.16, 165,635.52 and 31,539.84

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Solution

The fourth proportional to 110,420.16, 165,635.52 and 31,539.84 is: 47,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,420.16 : 165,635.52 = 31,539.84 : x
  2. Step 2: Convert to fraction form
    110,420.16/165,635.52 = 31,539.84/x
  3. Step 3: Cross multiply
    110,420.16x = 165,635.52 × 31,539.84
  4. Step 4: Simplify right side
    110,420.16x = 5,224,117,799.12
  5. Step 5: Solve for x
    x = 5,224,117,799.12/110,420.16
  6. Step 6: Final answer
    x = 47,311.27

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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.