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Finding the Fourth Proportional to 95,454, 143,181.32 and 32,274.63

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Solution

The fourth proportional to 95,454, 143,181.32 and 32,274.63 is: 48,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,454 : 143,181.32 = 32,274.63 : x
  2. Step 2: Convert to fraction form
    95,454/143,181.32 = 32,274.63/x
  3. Step 3: Cross multiply
    95,454x = 143,181.32 × 32,274.63
  4. Step 4: Simplify right side
    95,454x = 4,621,123,964.54
  5. Step 5: Solve for x
    x = 4,621,123,964.54/95,454
  6. Step 6: Final answer
    x = 48,412.05

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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.