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Finding the Fourth Proportional to 47,625.50, 71,424.32 and 14,342.30

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Solution

The fourth proportional to 47,625.50, 71,424.32 and 14,342.30 is: 21,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,625.50 : 71,424.32 = 14,342.30 : x
  2. Step 2: Convert to fraction form
    47,625.50/71,424.32 = 14,342.30/x
  3. Step 3: Cross multiply
    47,625.50x = 71,424.32 × 14,342.30
  4. Step 4: Simplify right side
    47,625.50x = 1,024,389,024.74
  5. Step 5: Solve for x
    x = 1,024,389,024.74/47,625.50
  6. Step 6: Final answer
    x = 21,509.26

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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.