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Finding the Fourth Proportional to 110,362, 165,560.28 and 36,507.28

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Solution

The fourth proportional to 110,362, 165,560.28 and 36,507.28 is: 54,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,362 : 165,560.28 = 36,507.28 : x
  2. Step 2: Convert to fraction form
    110,362/165,560.28 = 36,507.28/x
  3. Step 3: Cross multiply
    110,362x = 165,560.28 × 36,507.28
  4. Step 4: Simplify right side
    110,362x = 6,044,155,498.84
  5. Step 5: Solve for x
    x = 6,044,155,498.84/110,362
  6. Step 6: Final answer
    x = 54,766.64

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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.