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Finding the Fourth Proportional to 47,806.59, 71,709.75 and 14,526.48

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Solution

The fourth proportional to 47,806.59, 71,709.75 and 14,526.48 is: 21,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,806.59 : 71,709.75 = 14,526.48 : x
  2. Step 2: Convert to fraction form
    47,806.59/71,709.75 = 14,526.48/x
  3. Step 3: Cross multiply
    47,806.59x = 71,709.75 × 14,526.48
  4. Step 4: Simplify right side
    47,806.59x = 1,041,690,249.18
  5. Step 5: Solve for x
    x = 1,041,690,249.18/47,806.59
  6. Step 6: Final answer
    x = 21,789.68

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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.