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Finding the Fourth Proportional to 84,808.12, 117,085.92 and 53,020.06

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Solution

The fourth proportional to 84,808.12, 117,085.92 and 53,020.06 is: 73,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,808.12 : 117,085.92 = 53,020.06 : x
  2. Step 2: Convert to fraction form
    84,808.12/117,085.92 = 53,020.06/x
  3. Step 3: Cross multiply
    84,808.12x = 117,085.92 × 53,020.06
  4. Step 4: Simplify right side
    84,808.12x = 6,207,902,503.56
  5. Step 5: Solve for x
    x = 6,207,902,503.56/84,808.12
  6. Step 6: Final answer
    x = 73,199.39

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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.