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Finding the Fourth Proportional to 81,201.18, 112,054.29 and 47,208.22

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Solution

The fourth proportional to 81,201.18, 112,054.29 and 47,208.22 is: 65,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,201.18 : 112,054.29 = 47,208.22 : x
  2. Step 2: Convert to fraction form
    81,201.18/112,054.29 = 47,208.22/x
  3. Step 3: Cross multiply
    81,201.18x = 112,054.29 × 47,208.22
  4. Step 4: Simplify right side
    81,201.18x = 5,289,883,117.10
  5. Step 5: Solve for x
    x = 5,289,883,117.10/81,201.18
  6. Step 6: Final answer
    x = 65,145.39

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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.