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Finding the Fourth Proportional to 32,170, 48,280.92 and 16,592.08

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Solution

The fourth proportional to 32,170, 48,280.92 and 16,592.08 is: 24,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,170 : 48,280.92 = 16,592.08 : x
  2. Step 2: Convert to fraction form
    32,170/48,280.92 = 16,592.08/x
  3. Step 3: Cross multiply
    32,170x = 48,280.92 × 16,592.08
  4. Step 4: Simplify right side
    32,170x = 801,080,887.11
  5. Step 5: Solve for x
    x = 801,080,887.11/32,170
  6. Step 6: Final answer
    x = 24,901.49

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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.