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Finding the Fourth Proportional to 47,962.98, 71,941.43 and 14,679.88

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Solution

The fourth proportional to 47,962.98, 71,941.43 and 14,679.88 is: 22,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,962.98 : 71,941.43 = 14,679.88 : x
  2. Step 2: Convert to fraction form
    47,962.98/71,941.43 = 14,679.88/x
  3. Step 3: Cross multiply
    47,962.98x = 71,941.43 × 14,679.88
  4. Step 4: Simplify right side
    47,962.98x = 1,056,091,416.27
  5. Step 5: Solve for x
    x = 1,056,091,416.27/47,962.98
  6. Step 6: Final answer
    x = 22,018.89

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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.