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Finding the Fourth Proportional to 46,541, 64,226.10 and 27,677.72

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Solution

The fourth proportional to 46,541, 64,226.10 and 27,677.72 is: 38,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,541 : 64,226.10 = 27,677.72 : x
  2. Step 2: Convert to fraction form
    46,541/64,226.10 = 27,677.72/x
  3. Step 3: Cross multiply
    46,541x = 64,226.10 × 27,677.72
  4. Step 4: Simplify right side
    46,541x = 1,777,632,012.49
  5. Step 5: Solve for x
    x = 1,777,632,012.49/46,541
  6. Step 6: Final answer
    x = 38,194.97

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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.