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Finding the Fourth Proportional to 32,612.91, 48,935.77 and 24,309.60

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Solution

The fourth proportional to 32,612.91, 48,935.77 and 24,309.60 is: 36,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,612.91 : 48,935.77 = 24,309.60 : x
  2. Step 2: Convert to fraction form
    32,612.91/48,935.77 = 24,309.60/x
  3. Step 3: Cross multiply
    32,612.91x = 48,935.77 × 24,309.60
  4. Step 4: Simplify right side
    32,612.91x = 1,189,608,749.71
  5. Step 5: Solve for x
    x = 1,189,608,749.71/32,612.91
  6. Step 6: Final answer
    x = 36,476.63

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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.