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Finding the Fourth Proportional to 47,693.70, 71,548.04 and 14,409.59

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Solution

The fourth proportional to 47,693.70, 71,548.04 and 14,409.59 is: 21,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,693.70 : 71,548.04 = 14,409.59 : x
  2. Step 2: Convert to fraction form
    47,693.70/71,548.04 = 14,409.59/x
  3. Step 3: Cross multiply
    47,693.70x = 71,548.04 × 14,409.59
  4. Step 4: Simplify right side
    47,693.70x = 1,030,977,491.92
  5. Step 5: Solve for x
    x = 1,030,977,491.92/47,693.70
  6. Step 6: Final answer
    x = 21,616.64

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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.