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Finding the Fourth Proportional to 53,706.13, 80,553 and 14,266.42

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Solution

The fourth proportional to 53,706.13, 80,553 and 14,266.42 is: 21,397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,706.13 : 80,553 = 14,266.42 : x
  2. Step 2: Convert to fraction form
    53,706.13/80,553 = 14,266.42/x
  3. Step 3: Cross multiply
    53,706.13x = 80,553 × 14,266.42
  4. Step 4: Simplify right side
    53,706.13x = 1,149,202,930.26
  5. Step 5: Solve for x
    x = 1,149,202,930.26/53,706.13
  6. Step 6: Final answer
    x = 21,397.98

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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.