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Finding the Fourth Proportional to 42,135.50, 63,213.65 and 12,553.22

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Solution

The fourth proportional to 42,135.50, 63,213.65 and 12,553.22 is: 18,832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,135.50 : 63,213.65 = 12,553.22 : x
  2. Step 2: Convert to fraction form
    42,135.50/63,213.65 = 12,553.22/x
  3. Step 3: Cross multiply
    42,135.50x = 63,213.65 × 12,553.22
  4. Step 4: Simplify right side
    42,135.50x = 793,534,855.45
  5. Step 5: Solve for x
    x = 793,534,855.45/42,135.50
  6. Step 6: Final answer
    x = 18,832.93

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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.