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Finding the Fourth Proportional to 114,909.44, 172,363.95 and 36,023.54

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Solution

The fourth proportional to 114,909.44, 172,363.95 and 36,023.54 is: 54,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,909.44 : 172,363.95 = 36,023.54 : x
  2. Step 2: Convert to fraction form
    114,909.44/172,363.95 = 36,023.54/x
  3. Step 3: Cross multiply
    114,909.44x = 172,363.95 × 36,023.54
  4. Step 4: Simplify right side
    114,909.44x = 6,209,158,785.56
  5. Step 5: Solve for x
    x = 6,209,158,785.56/114,909.44
  6. Step 6: Final answer
    x = 54,035.24

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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.