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Finding the Fourth Proportional to 81,446.48, 112,393.80 and 47,914.32

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Solution

The fourth proportional to 81,446.48, 112,393.80 and 47,914.32 is: 66,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,446.48 : 112,393.80 = 47,914.32 : x
  2. Step 2: Convert to fraction form
    81,446.48/112,393.80 = 47,914.32/x
  3. Step 3: Cross multiply
    81,446.48x = 112,393.80 × 47,914.32
  4. Step 4: Simplify right side
    81,446.48x = 5,385,272,499.22
  5. Step 5: Solve for x
    x = 5,385,272,499.22/81,446.48
  6. Step 6: Final answer
    x = 66,120.38

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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.