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Finding the Fourth Proportional to 47,657.34, 71,486.28 and 12,596.63

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Solution

The fourth proportional to 47,657.34, 71,486.28 and 12,596.63 is: 18,895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,657.34 : 71,486.28 = 12,596.63 : x
  2. Step 2: Convert to fraction form
    47,657.34/71,486.28 = 12,596.63/x
  3. Step 3: Cross multiply
    47,657.34x = 71,486.28 × 12,596.63
  4. Step 4: Simplify right side
    47,657.34x = 900,485,861.81
  5. Step 5: Solve for x
    x = 900,485,861.81/47,657.34
  6. Step 6: Final answer
    x = 18,895.01

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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.