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Finding the Fourth Proportional to 95,154.36, 142,731.54 and 32,820

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Solution

The fourth proportional to 95,154.36, 142,731.54 and 32,820 is: 49,230

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,154.36 : 142,731.54 = 32,820 : x
  2. Step 2: Convert to fraction form
    95,154.36/142,731.54 = 32,820/x
  3. Step 3: Cross multiply
    95,154.36x = 142,731.54 × 32,820
  4. Step 4: Simplify right side
    95,154.36x = 4,684,449,142.80
  5. Step 5: Solve for x
    x = 4,684,449,142.80/95,154.36
  6. Step 6: Final answer
    x = 49,230

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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.