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Finding the Fourth Proportional to 81,068.22, 111,842.37 and 47,070.90

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Solution

The fourth proportional to 81,068.22, 111,842.37 and 47,070.90 is: 64,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,068.22 : 111,842.37 = 47,070.90 : x
  2. Step 2: Convert to fraction form
    81,068.22/111,842.37 = 47,070.90/x
  3. Step 3: Cross multiply
    81,068.22x = 111,842.37 × 47,070.90
  4. Step 4: Simplify right side
    81,068.22x = 5,264,521,014.03
  5. Step 5: Solve for x
    x = 5,264,521,014.03/81,068.22
  6. Step 6: Final answer
    x = 64,939.39

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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.