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Finding the Fourth Proportional to 47,970.56, 71,956 and 14,690.48

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Solution

The fourth proportional to 47,970.56, 71,956 and 14,690.48 is: 22,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,970.56 : 71,956 = 14,690.48 : x
  2. Step 2: Convert to fraction form
    47,970.56/71,956 = 14,690.48/x
  3. Step 3: Cross multiply
    47,970.56x = 71,956 × 14,690.48
  4. Step 4: Simplify right side
    47,970.56x = 1,057,068,178.88
  5. Step 5: Solve for x
    x = 1,057,068,178.88/47,970.56
  6. Step 6: Final answer
    x = 22,035.77

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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.