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Finding the Fourth Proportional to 32,525.12, 48,777.44 and 10,632

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Solution

The fourth proportional to 32,525.12, 48,777.44 and 10,632 is: 15,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,525.12 : 48,777.44 = 10,632 : x
  2. Step 2: Convert to fraction form
    32,525.12/48,777.44 = 10,632/x
  3. Step 3: Cross multiply
    32,525.12x = 48,777.44 × 10,632
  4. Step 4: Simplify right side
    32,525.12x = 518,601,742.08
  5. Step 5: Solve for x
    x = 518,601,742.08/32,525.12
  6. Step 6: Final answer
    x = 15,944.65

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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.