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Finding the Fourth Proportional to 95,074, 142,499.64 and 32,689.36

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Solution

The fourth proportional to 95,074, 142,499.64 and 32,689.36 is: 48,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,074 : 142,499.64 = 32,689.36 : x
  2. Step 2: Convert to fraction form
    95,074/142,499.64 = 32,689.36/x
  3. Step 3: Cross multiply
    95,074x = 142,499.64 × 32,689.36
  4. Step 4: Simplify right side
    95,074x = 4,658,222,031.83
  5. Step 5: Solve for x
    x = 4,658,222,031.83/95,074
  6. Step 6: Final answer
    x = 48,995.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.