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Finding the Fourth Proportional to 47,509.50, 71,252.91 and 14,220.63

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Solution

The fourth proportional to 47,509.50, 71,252.91 and 14,220.63 is: 21,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,509.50 : 71,252.91 = 14,220.63 : x
  2. Step 2: Convert to fraction form
    47,509.50/71,252.91 = 14,220.63/x
  3. Step 3: Cross multiply
    47,509.50x = 71,252.91 × 14,220.63
  4. Step 4: Simplify right side
    47,509.50x = 1,013,261,447.67
  5. Step 5: Solve for x
    x = 1,013,261,447.67/47,509.50
  6. Step 6: Final answer
    x = 21,327.55

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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.