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Finding the Fourth Proportional to 84,654.63, 126,870.53 and 47,232.32

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Solution

The fourth proportional to 84,654.63, 126,870.53 and 47,232.32 is: 70,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,654.63 : 126,870.53 = 47,232.32 : x
  2. Step 2: Convert to fraction form
    84,654.63/126,870.53 = 47,232.32/x
  3. Step 3: Cross multiply
    84,654.63x = 126,870.53 × 47,232.32
  4. Step 4: Simplify right side
    84,654.63x = 5,992,388,601.02
  5. Step 5: Solve for x
    x = 5,992,388,601.02/84,654.63
  6. Step 6: Final answer
    x = 70,786.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.