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Finding the Fourth Proportional to 110,509.20, 165,763.80 and 36,637.20

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Solution

The fourth proportional to 110,509.20, 165,763.80 and 36,637.20 is: 54,955.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,509.20 : 165,763.80 = 36,637.20 : x
  2. Step 2: Convert to fraction form
    110,509.20/165,763.80 = 36,637.20/x
  3. Step 3: Cross multiply
    110,509.20x = 165,763.80 × 36,637.20
  4. Step 4: Simplify right side
    110,509.20x = 6,073,121,493.36
  5. Step 5: Solve for x
    x = 6,073,121,493.36/110,509.20
  6. Step 6: Final answer
    x = 54,955.80

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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.