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Finding the Fourth Proportional to 83,010, 114,553.80 and 53,202

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Solution

The fourth proportional to 83,010, 114,553.80 and 53,202 is: 73,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,010 : 114,553.80 = 53,202 : x
  2. Step 2: Convert to fraction form
    83,010/114,553.80 = 53,202/x
  3. Step 3: Cross multiply
    83,010x = 114,553.80 × 53,202
  4. Step 4: Simplify right side
    83,010x = 6,094,491,267.60
  5. Step 5: Solve for x
    x = 6,094,491,267.60/83,010
  6. Step 6: Final answer
    x = 73,418.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.