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Finding the Fourth Proportional to 92,606.54, 138,943.10 and 36,415.49

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Solution

The fourth proportional to 92,606.54, 138,943.10 and 36,415.49 is: 54,636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,606.54 : 138,943.10 = 36,415.49 : x
  2. Step 2: Convert to fraction form
    92,606.54/138,943.10 = 36,415.49/x
  3. Step 3: Cross multiply
    92,606.54x = 138,943.10 × 36,415.49
  4. Step 4: Simplify right side
    92,606.54x = 5,059,680,464.94
  5. Step 5: Solve for x
    x = 5,059,680,464.94/92,606.54
  6. Step 6: Final answer
    x = 54,636.32

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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.