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Finding the Fourth Proportional to 42,525, 63,788.04 and 14,823

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Solution

The fourth proportional to 42,525, 63,788.04 and 14,823 is: 22,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,525 : 63,788.04 = 14,823 : x
  2. Step 2: Convert to fraction form
    42,525/63,788.04 = 14,823/x
  3. Step 3: Cross multiply
    42,525x = 63,788.04 × 14,823
  4. Step 4: Simplify right side
    42,525x = 945,530,116.92
  5. Step 5: Solve for x
    x = 945,530,116.92/42,525
  6. Step 6: Final answer
    x = 22,234.69

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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.