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Finding the Fourth Proportional to 42,189.78, 63,288.30 and 11,025

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Solution

The fourth proportional to 42,189.78, 63,288.30 and 11,025 is: 16,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,189.78 : 63,288.30 = 11,025 : x
  2. Step 2: Convert to fraction form
    42,189.78/63,288.30 = 11,025/x
  3. Step 3: Cross multiply
    42,189.78x = 63,288.30 × 11,025
  4. Step 4: Simplify right side
    42,189.78x = 697,753,507.50
  5. Step 5: Solve for x
    x = 697,753,507.50/42,189.78
  6. Step 6: Final answer
    x = 16,538.45

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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.