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Finding the Fourth Proportional to 45,673.86, 63,026.42 and 27,766.38

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Solution

The fourth proportional to 45,673.86, 63,026.42 and 27,766.38 is: 38,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,673.86 : 63,026.42 = 27,766.38 : x
  2. Step 2: Convert to fraction form
    45,673.86/63,026.42 = 27,766.38/x
  3. Step 3: Cross multiply
    45,673.86x = 63,026.42 × 27,766.38
  4. Step 4: Simplify right side
    45,673.86x = 1,750,015,527.76
  5. Step 5: Solve for x
    x = 1,750,015,527.76/45,673.86
  6. Step 6: Final answer
    x = 38,315.47

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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.