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Finding the Fourth Proportional to 84,992.12, 117,287.46 and 47,265.56

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Solution

The fourth proportional to 84,992.12, 117,287.46 and 47,265.56 is: 65,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,992.12 : 117,287.46 = 47,265.56 : x
  2. Step 2: Convert to fraction form
    84,992.12/117,287.46 = 47,265.56/x
  3. Step 3: Cross multiply
    84,992.12x = 117,287.46 × 47,265.56
  4. Step 4: Simplify right side
    84,992.12x = 5,543,657,477.88
  5. Step 5: Solve for x
    x = 5,543,657,477.88/84,992.12
  6. Step 6: Final answer
    x = 65,225.55

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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.