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Finding the Fourth Proportional to 32,201.96, 48,309.77 and 9,713.32

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Solution

The fourth proportional to 32,201.96, 48,309.77 and 9,713.32 is: 14,572.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201.96 : 48,309.77 = 9,713.32 : x
  2. Step 2: Convert to fraction form
    32,201.96/48,309.77 = 9,713.32/x
  3. Step 3: Cross multiply
    32,201.96x = 48,309.77 × 9,713.32
  4. Step 4: Simplify right side
    32,201.96x = 469,247,965.02
  5. Step 5: Solve for x
    x = 469,247,965.02/32,201.96
  6. Step 6: Final answer
    x = 14,572.03

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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.