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Finding the Fourth Proportional to 81,208.52, 112,077.44 and 47,674.52

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Solution

The fourth proportional to 81,208.52, 112,077.44 and 47,674.52 is: 65,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,208.52 : 112,077.44 = 47,674.52 : x
  2. Step 2: Convert to fraction form
    81,208.52/112,077.44 = 47,674.52/x
  3. Step 3: Cross multiply
    81,208.52x = 112,077.44 × 47,674.52
  4. Step 4: Simplify right side
    81,208.52x = 5,343,238,154.83
  5. Step 5: Solve for x
    x = 5,343,238,154.83/81,208.52
  6. Step 6: Final answer
    x = 65,796.52

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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.