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Finding the Fourth Proportional to 64,015.74, 95,958 and 24,562.26

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Solution

The fourth proportional to 64,015.74, 95,958 and 24,562.26 is: 36,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,015.74 : 95,958 = 24,562.26 : x
  2. Step 2: Convert to fraction form
    64,015.74/95,958 = 24,562.26/x
  3. Step 3: Cross multiply
    64,015.74x = 95,958 × 24,562.26
  4. Step 4: Simplify right side
    64,015.74x = 2,356,945,345.08
  5. Step 5: Solve for x
    x = 2,356,945,345.08/64,015.74
  6. Step 6: Final answer
    x = 36,818.22

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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.