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Finding the Fourth Proportional to 84,825.78, 117,063.18 and 47,100

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Solution

The fourth proportional to 84,825.78, 117,063.18 and 47,100 is: 65,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,825.78 : 117,063.18 = 47,100 : x
  2. Step 2: Convert to fraction form
    84,825.78/117,063.18 = 47,100/x
  3. Step 3: Cross multiply
    84,825.78x = 117,063.18 × 47,100
  4. Step 4: Simplify right side
    84,825.78x = 5,513,675,778
  5. Step 5: Solve for x
    x = 5,513,675,778/84,825.78
  6. Step 6: Final answer
    x = 65,000.00

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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.