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Finding the Fourth Proportional to 47,873.70, 71,808.03 and 14,592.96

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Solution

The fourth proportional to 47,873.70, 71,808.03 and 14,592.96 is: 21,888.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,873.70 : 71,808.03 = 14,592.96 : x
  2. Step 2: Convert to fraction form
    47,873.70/71,808.03 = 14,592.96/x
  3. Step 3: Cross multiply
    47,873.70x = 71,808.03 × 14,592.96
  4. Step 4: Simplify right side
    47,873.70x = 1,047,891,709.47
  5. Step 5: Solve for x
    x = 1,047,891,709.47/47,873.70
  6. Step 6: Final answer
    x = 21,888.67

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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.