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Finding the Fourth Proportional to 32,593.74, 48,892 and 13,871.22

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Solution

The fourth proportional to 32,593.74, 48,892 and 13,871.22 is: 20,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,593.74 : 48,892 = 13,871.22 : x
  2. Step 2: Convert to fraction form
    32,593.74/48,892 = 13,871.22/x
  3. Step 3: Cross multiply
    32,593.74x = 48,892 × 13,871.22
  4. Step 4: Simplify right side
    32,593.74x = 678,191,688.24
  5. Step 5: Solve for x
    x = 678,191,688.24/32,593.74
  6. Step 6: Final answer
    x = 20,807.42

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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.