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Finding the Fourth Proportional to 84,727, 127,090.50 and 22,397.50

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Solution

The fourth proportional to 84,727, 127,090.50 and 22,397.50 is: 33,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,727 : 127,090.50 = 22,397.50 : x
  2. Step 2: Convert to fraction form
    84,727/127,090.50 = 22,397.50/x
  3. Step 3: Cross multiply
    84,727x = 127,090.50 × 22,397.50
  4. Step 4: Simplify right side
    84,727x = 2,846,509,473.75
  5. Step 5: Solve for x
    x = 2,846,509,473.75/84,727
  6. Step 6: Final answer
    x = 33,596.25

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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.