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Finding the Fourth Proportional to 84,731, 127,096.50 and 22,401.50

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Solution

The fourth proportional to 84,731, 127,096.50 and 22,401.50 is: 33,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,731 : 127,096.50 = 22,401.50 : x
  2. Step 2: Convert to fraction form
    84,731/127,096.50 = 22,401.50/x
  3. Step 3: Cross multiply
    84,731x = 127,096.50 × 22,401.50
  4. Step 4: Simplify right side
    84,731x = 2,847,152,244.75
  5. Step 5: Solve for x
    x = 2,847,152,244.75/84,731
  6. Step 6: Final answer
    x = 33,602.25

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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.