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Finding the Fourth Proportional to 32,652.72, 48,983.76 and 12,396.96

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Solution

The fourth proportional to 32,652.72, 48,983.76 and 12,396.96 is: 18,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,652.72 : 48,983.76 = 12,396.96 : x
  2. Step 2: Convert to fraction form
    32,652.72/48,983.76 = 12,396.96/x
  3. Step 3: Cross multiply
    32,652.72x = 48,983.76 × 12,396.96
  4. Step 4: Simplify right side
    32,652.72x = 607,249,713.37
  5. Step 5: Solve for x
    x = 607,249,713.37/32,652.72
  6. Step 6: Final answer
    x = 18,597.22

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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.