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Finding the Fourth Proportional to 41,685.86, 57,527.89 and 22,823.38

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Solution

The fourth proportional to 41,685.86, 57,527.89 and 22,823.38 is: 31,497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,685.86 : 57,527.89 = 22,823.38 : x
  2. Step 2: Convert to fraction form
    41,685.86/57,527.89 = 22,823.38/x
  3. Step 3: Cross multiply
    41,685.86x = 57,527.89 × 22,823.38
  4. Step 4: Simplify right side
    41,685.86x = 1,312,980,894.07
  5. Step 5: Solve for x
    x = 1,312,980,894.07/41,685.86
  6. Step 6: Final answer
    x = 31,497.03

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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.