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Finding the Fourth Proportional to 41,784.65, 57,666.75 and 23,876.18

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Solution

The fourth proportional to 41,784.65, 57,666.75 and 23,876.18 is: 32,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,784.65 : 57,666.75 = 23,876.18 : x
  2. Step 2: Convert to fraction form
    41,784.65/57,666.75 = 23,876.18/x
  3. Step 3: Cross multiply
    41,784.65x = 57,666.75 × 23,876.18
  4. Step 4: Simplify right side
    41,784.65x = 1,376,861,762.71
  5. Step 5: Solve for x
    x = 1,376,861,762.71/41,784.65
  6. Step 6: Final answer
    x = 32,951.38

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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.