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Finding the Fourth Proportional to 92,274.56, 138,411.86 and 22,153.87

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Solution

The fourth proportional to 92,274.56, 138,411.86 and 22,153.87 is: 33,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,274.56 : 138,411.86 = 22,153.87 : x
  2. Step 2: Convert to fraction form
    92,274.56/138,411.86 = 22,153.87/x
  3. Step 3: Cross multiply
    92,274.56x = 138,411.86 × 22,153.87
  4. Step 4: Simplify right side
    92,274.56x = 3,066,358,415.14
  5. Step 5: Solve for x
    x = 3,066,358,415.14/92,274.56
  6. Step 6: Final answer
    x = 33,230.81

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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.