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Finding the Fourth Proportional to 81,048.52, 111,865.62 and 47,525.32

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Solution

The fourth proportional to 81,048.52, 111,865.62 and 47,525.32 is: 65,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,048.52 : 111,865.62 = 47,525.32 : x
  2. Step 2: Convert to fraction form
    81,048.52/111,865.62 = 47,525.32/x
  3. Step 3: Cross multiply
    81,048.52x = 111,865.62 × 47,525.32
  4. Step 4: Simplify right side
    81,048.52x = 5,316,449,387.50
  5. Step 5: Solve for x
    x = 5,316,449,387.50/81,048.52
  6. Step 6: Final answer
    x = 65,595.88

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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.