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Finding the Fourth Proportional to 32,342.11, 48,509.76 and 8,652.05

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Solution

The fourth proportional to 32,342.11, 48,509.76 and 8,652.05 is: 12,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,342.11 : 48,509.76 = 8,652.05 : x
  2. Step 2: Convert to fraction form
    32,342.11/48,509.76 = 8,652.05/x
  3. Step 3: Cross multiply
    32,342.11x = 48,509.76 × 8,652.05
  4. Step 4: Simplify right side
    32,342.11x = 419,708,704.47
  5. Step 5: Solve for x
    x = 419,708,704.47/32,342.11
  6. Step 6: Final answer
    x = 12,977.16

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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.