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Finding the Fourth Proportional to 110,438.20, 165,657.30 and 36,566.20

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Solution

The fourth proportional to 110,438.20, 165,657.30 and 36,566.20 is: 54,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,438.20 : 165,657.30 = 36,566.20 : x
  2. Step 2: Convert to fraction form
    110,438.20/165,657.30 = 36,566.20/x
  3. Step 3: Cross multiply
    110,438.20x = 165,657.30 × 36,566.20
  4. Step 4: Simplify right side
    110,438.20x = 6,057,457,963.26
  5. Step 5: Solve for x
    x = 6,057,457,963.26/110,438.20
  6. Step 6: Final answer
    x = 54,849.30

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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.