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Finding the Fourth Proportional to 30,593.84, 45,904.53 and 16,537.41

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Solution

The fourth proportional to 30,593.84, 45,904.53 and 16,537.41 is: 24,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,593.84 : 45,904.53 = 16,537.41 : x
  2. Step 2: Convert to fraction form
    30,593.84/45,904.53 = 16,537.41/x
  3. Step 3: Cross multiply
    30,593.84x = 45,904.53 × 16,537.41
  4. Step 4: Simplify right side
    30,593.84x = 759,142,033.47
  5. Step 5: Solve for x
    x = 759,142,033.47/30,593.84
  6. Step 6: Final answer
    x = 24,813.56

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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.