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Finding the Fourth Proportional to 81,077.52, 111,905.64 and 47,554.32

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Solution

The fourth proportional to 81,077.52, 111,905.64 and 47,554.32 is: 65,635.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,077.52 : 111,905.64 = 47,554.32 : x
  2. Step 2: Convert to fraction form
    81,077.52/111,905.64 = 47,554.32/x
  3. Step 3: Cross multiply
    81,077.52x = 111,905.64 × 47,554.32
  4. Step 4: Simplify right side
    81,077.52x = 5,321,596,614.36
  5. Step 5: Solve for x
    x = 5,321,596,614.36/81,077.52
  6. Step 6: Final answer
    x = 65,635.91

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1.5x scale

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.