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Finding the Fourth Proportional to 74,552.94, 111,825.72 and 27,802.17

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Solution

The fourth proportional to 74,552.94, 111,825.72 and 27,802.17 is: 41,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,552.94 : 111,825.72 = 27,802.17 : x
  2. Step 2: Convert to fraction form
    74,552.94/111,825.72 = 27,802.17/x
  3. Step 3: Cross multiply
    74,552.94x = 111,825.72 × 27,802.17
  4. Step 4: Simplify right side
    74,552.94x = 3,108,997,677.81
  5. Step 5: Solve for x
    x = 3,108,997,677.81/74,552.94
  6. Step 6: Final answer
    x = 41,701.88

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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.