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Finding the Fourth Proportional to 81,035.12, 111,815.70 and 45,223.40

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Solution

The fourth proportional to 81,035.12, 111,815.70 and 45,223.40 is: 62,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,035.12 : 111,815.70 = 45,223.40 : x
  2. Step 2: Convert to fraction form
    81,035.12/111,815.70 = 45,223.40/x
  3. Step 3: Cross multiply
    81,035.12x = 111,815.70 × 45,223.40
  4. Step 4: Simplify right side
    81,035.12x = 5,056,686,127.38
  5. Step 5: Solve for x
    x = 5,056,686,127.38/81,035.12
  6. Step 6: Final answer
    x = 62,401.17

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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.