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Finding the Fourth Proportional to 32,553.84, 44,925.24 and 18,406.38

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Solution

The fourth proportional to 32,553.84, 44,925.24 and 18,406.38 is: 25,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,553.84 : 44,925.24 = 18,406.38 : x
  2. Step 2: Convert to fraction form
    32,553.84/44,925.24 = 18,406.38/x
  3. Step 3: Cross multiply
    32,553.84x = 44,925.24 × 18,406.38
  4. Step 4: Simplify right side
    32,553.84x = 826,911,039.03
  5. Step 5: Solve for x
    x = 826,911,039.03/32,553.84
  6. Step 6: Final answer
    x = 25,401.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.