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Finding the Fourth Proportional to 110,050, 165,077.20 and 36,178

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Solution

The fourth proportional to 110,050, 165,077.20 and 36,178 is: 54,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,050 : 165,077.20 = 36,178 : x
  2. Step 2: Convert to fraction form
    110,050/165,077.20 = 36,178/x
  3. Step 3: Cross multiply
    110,050x = 165,077.20 × 36,178
  4. Step 4: Simplify right side
    110,050x = 5,972,162,941.60
  5. Step 5: Solve for x
    x = 5,972,162,941.60/110,050
  6. Step 6: Final answer
    x = 54,267.72

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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.