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Finding the Fourth Proportional to 47,349, 71,020.98 and 14,069.34

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Solution

The fourth proportional to 47,349, 71,020.98 and 14,069.34 is: 21,103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,349 : 71,020.98 = 14,069.34 : x
  2. Step 2: Convert to fraction form
    47,349/71,020.98 = 14,069.34/x
  3. Step 3: Cross multiply
    47,349x = 71,020.98 × 14,069.34
  4. Step 4: Simplify right side
    47,349x = 999,218,314.75
  5. Step 5: Solve for x
    x = 999,218,314.75/47,349
  6. Step 6: Final answer
    x = 21,103.26

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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.