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Finding the Fourth Proportional to 32,471.04, 48,704.66 and 16,666.32

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Solution

The fourth proportional to 32,471.04, 48,704.66 and 16,666.32 is: 24,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.04 : 48,704.66 = 16,666.32 : x
  2. Step 2: Convert to fraction form
    32,471.04/48,704.66 = 16,666.32/x
  3. Step 3: Cross multiply
    32,471.04x = 48,704.66 × 16,666.32
  4. Step 4: Simplify right side
    32,471.04x = 811,727,449.05
  5. Step 5: Solve for x
    x = 811,727,449.05/32,471.04
  6. Step 6: Final answer
    x = 24,998.50

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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.